Question

Which number is the same as (4^-1)(2^3 ➗4^-2)?

Answer 1

When you have a negative exponent, you move it to the other side of the fraction to make the exponent positive.

For example:

$x^{-2}$ or $\frac{x^{-2}}{1} =\frac{1}{x^2}$

$\frac{1}{y^{-5}} =\frac{y^5}{1}$  or $y^{5}$

$(4^{-1})(\frac{2^3}{4^{-2}} )$      First move those with a negative exponent to the other side of the fraction to make the exponents positive

$(\frac{1}{4^1})(2^3(4^2))$

$\frac{8(16)}{4}$

$\frac{128}{4}$

32     Your answer is D