Algebra 1 - Exponent Properties & Exponential Expressions

Simplify 3^5/x^2

The expression can not be simplified.

Solve the following expression: x^7 when x = -2

-128

What is the formula for zero exponents if the base is nonzero?

Any non zero number or letter raised to the zero exponent is always 1.

Simplify the following (3^3*4^-1)/(a^-7*b^2*c^-9)

(27a^7*c^9)/(4b^2)

Solve 3 - 14/7 • 2 + 13 - 6^2

-24

Solve: (3 + 2) - 4^3 • 2 + 3^3 - (1 - 3)

-94

Assuming g ≠ 0, what is g^0?

1

Simplify the following expression. 93^0

1

Simplify using ONLY positive exponents. (x^2/x^5)^0

1

Solve 3^0 • 6^0 ----------- 9^0

1

What is 13^0?

1

Write the following using only positive exponents. y^-4*z^-12

1/(y^4*z^12)

Simplify using ONLY positive exponents. m^3/m^5

1/m^2

Simplify 2^5/2^2

2^3

Solve 12 ÷ 3 - (4 • 5 - 18) + 3 • 1 - 2

3

Simplify 3^8 x^3 --------- 3^3 x^-4

3^5 x^7

Simplify (4^9)^-3

4^-27

Simplify (4^6)^10

4^60

Simplify the following: 5^-3*6^4*2^-1

5.184

Simplify (5^6)*(5^-4)

5^2

Solve the following expression: (-5)^4

624

Solve the following expression: 9^3

729

Simplify and solve the following expression: 8^12/8^11

8

Simplify (y^4)*(2^3)

8y^4

Simplify and write as a decimal. 7^-3 / 5^-5

9.11

Which of the following would require the use of the 'power to a power' rule for exponents? a. (r^3)^2 b. r^3 • r^2 c. r^3/r^2 d. (rt)^3 e. (r/t)^3

a. (r^3)^2

Which of the following is true regarding negative exponents? a. To convert a negative exponent in the denominator to a positive exponent, move it to the numerator b. Any number to any negative exponent is equal to 0. c. A negative exponent requires subtracting the base number from the exponent. d. A negative exponent requires subtracting the exponent from the base number.

a. To convert a negative exponent in the denominator to a positive exponent, move it to the numerator

Which of the following is equivalent to the expression below? (mn)^7 a. m^7 n^7 b. m^14 n^14 c. mn^14 d. mn^7 e. (mn)^49

a. m^7 n^7

Simplify (a^-3)^4

a^-12

Simplify (a^2)*(a^7)*(b^3)

a^9b^3

Which of the following is equivalent to the expression below? y^-1 a. (y^8)(y^7) b. (y^5)(y^-6) c. (y^-10)(y^-11) d. (y^1)(y^-1) e. (y^3)(y^-7)

b. (y^5)(y^-6)

What is true about negative exponents? a. They cannot be written as positive exponents. b. If a base with a negative exponent is in the numerator, the base and exponent need to be put in the denominator to make the negative exponent positive. c. They always equal to negative numbers. d. All of the statements are correct.

b. If a base with a negative exponent is in the numerator, the base and exponent need to be put in the denominator to make the negative exponent positive.

Which of the following is equivalent to the expression below? (r/t)^3 a. r^3/t b. r^3/t^3 c. r^6/t^6 d. r^9/t^9 e. rt^3

b. r^3/t^3

Which statement helps prove that 3^0 = 1? a. Because 1^3 = 1^0 b. Because 3 is a prime number c. Because it follows from the pattern 3^2 = 9 3^1 = 3 3^0 = 1 d. All of the statements are correct e. None of the statements are correct

c. Because it follows from the pattern 3^2 = 9 3^1 = 3 3^0 = 1

Which of the following is true about simplifying a power raised to a power? a. To simplify, the only thing to do is work them out the long way. b. To simplify you add the exponents together c. To simplify you multiply the exponents together. d. They can not be simplified e. None of the choices are correct.

c. To simplify you multiply the exponents together.

Which statement is TRUE about multiplying exponential expressions? a. To multiply exponential expressions, multiply the bases and add the exponents. b. You can multiply all exponential expressions regardless of the base. c. You can only multiply exponential expressions if the exponents have the same base. d. You cannot multiply expressions with negative exponents. e. All of the answers are true.

c. You can only multiply exponential expressions if the exponents have the same base.

Which operations listed are performed together from left to right? a. addition and exponents b. subtraction and division c. multiplication and division d. addition and multiplication e. parenthesis and exponents

c. multiplication and division

Which of the following is true when dividing expressions with exponents? a. The exponents must be positive. b. Both bases must be variables. c. You divide the exponent of the numerator by the exponent of the denominator. d. If the bases are not the same, you can't simplify. e. All of the statements are true.

d. If the bases are not the same, you can't simplify.

Which operation comes second in the order of operations?

exponents

Simplify the expression below. m^9/m^4

m^5

Simplify (r^-3)^-3

r^9

What is 0^0?

undefined

Simplify x^2/x^-3

x^5

Simplify (y^4)*(y^4)

y^8

Simplify the following expression: z^12/z^9

z^3