Unit 2 Math Project Problems

(10xyz)/(40x^7)

(yz)/(ax)

Simplify: (-3x^8yz^2)^3

-27x^24y^3z^6

Negative root: 75a^4b^9c^27

-5a^2b^4c^13 root 3bc

Simplify: [(h-201h251)/(h-50h150)]^2

1

What is the GCF of 22, 7 and 105

1

What is 0.0001234 in scientific notation

1.234x10^-4

What is 15,000,000,000,000,000,000 in scientific notation

1.5x10^19

Simplify: 3^2/3^5

1/27

Simplify: 8^r+1/8^r+4

1/8^3

root 80/(2 root 60)

1/root 3

Write 2x10^8 in standard form

200,000,000

Simplify: 8k^3p^5x3k^4p^12z^3

24k^7p^17z^3

Find the perimeter of a rectangle that has the width of 4x^3 and a length of 8x^3+x+x^4

24x^3+2x+2x^4 units

What is the prime factorization of 1234

2X617

root 12x^2

2x root 3

Cube root: 8x^12y^16

2x^4y^5 root y

Fill in the blank(s): (2x2)^___=8x^______

3, 6

Find the area of a rectangle that has the width of 4x^3 and a length of 8x^3+x+x^4

32x^6+4x^4+4x^7 units squared

What is the LCM of 2, 3, 5, 10, and 13

390

Simplify: root 48

4 root 3

Simplify: 7v^3 X 10u^3v^5 X 8uv^3

560v^11u^4

If there is a square with the length of 7.6x10^-8 units , then what is the area of the square in standard form

577,600,000,000 units squared

Root 15n^2 x root 10n^3

5n^2 root 6n

root 4 x (3-2x)

6-4x

(root 100+ root 16)/ root 4

7

cube root: 2401m

7 cube root m

negative square root: 4.9 x 10^-27

7/10^13 root 10

Simplify: root 147h^11k^8

7h^5k^4 root 3h

Simplify: 7x^2x-7^-2

7x^2/-49

8 x root (xyz)^3

8xyz root xyz

What is the GCF of 81, 27, and 99

9

Which of the following is in scientific notation(multiple/none can be scientific): a.1.59x10^6 b.6.78900x10 c.7.65x1^10 d.9.9x10^9

A and D

Bob thinks 3^2 X 3^3=3^5 and Joe thinks 3^2 X 3^3=3^6. Who is right and why?

Bob is right because when you multiply two exponents when the bases are the same, you ADD the exponents NOT MULTIPLY them.

What is the most efficient way to find a square root of a number that is not a perfect square?

Find the factor that is the largest perfect square, and rewrite the radical as the product of the perfect square and its other product.

Can you simplify 2x^3+2x^4?

No

Does root 9 plus root 9 equal root 18?

No

Does 22x^4/22x^-4=1? Why or why not

No, because the negative exponent means you move the 22x^-4 to the numerator, not just dividing 22x^4 by itself

Can you simplify y/3? Why or why not?

No, because there are no same bases you can subtract the exponents from.

Does root 9+ root 9= 9? Why or why not?

No, because you are adding the square roots, not multiplying them to get the square. Square root 9=3, and 3+3=6, whereas Square root 9 x 9 = 9 because 3x 3 = 9.

Can you simplify a^b+c^d? Why/Why not?

No, because you cannot add the exponents when the bases are not the same.

What is the purpose of scientific notation

To be able to write really long numbers without writing all of the digits

Does 6^6/6^2 equal 6^4? Why or why not?

Yes because when you divide two numbers with the same base, you subtract the exponents.

Is root 9 x root 9 = 9? Why or why not?

Yes because you are multiplying a number by itself, and any number multiplied by itself will be a square. Since 9 is a square, when you multiply 3( root 9) by 3(root 9) you get 9.

Simplify: a^3b^5/a^-7b^-2

a^10b^7

(k^9)^5(k^3)^2

k^51

Simplify: root m^8

m^4

Cube root: 25

root 5

Simplify w^15v^-5/w^-22v^-3

w^7/v^2

Simplify: root x^12 x 64y^65

x^6 8y^32 root y

What is the LCM of x^4 and x^3

x^7