Algebra 2 pt 2

Which expression is equivalent to -8?

(-1/2)-3

Which expression is equivalent to (2^3)-5?

1/2^15

Which expression is equivalent to (3^2)-2 ?

1/81

Which expression is equivalent to (3a)-2?

1/9a2

Which expression is equivalent to (x^-6/x2)3?

1/x^24

Which expression is equivalent to 5y3/(5y)-2?

125y5

What is the quotient of 2^4/2^-4?

256

Describe how (2^3)(2^-4) can be simplified.

Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.

Blake simplified the expression (x^12/x^-3) to 1/x^20. What was Blake's mistake?

He divided the exponents in the parentheses instead of subtracting.

Tyna simplified the expression 3x3/12x-2 to x/4. What was Tyna's mistake?

She added the exponents instead of subtracting them.