How to find an exponent from a rational number

Practice Questions

ACT Math › How to find an exponent from a rational number

Questions

5

1

Often, solving a root equation is as simple as switching to exponential form.

Simplify into exponential form:

$\frac{\sqrt[3]{125}}{\sqrt[5]{125}}$

2

If $\small f(x)=2\times x^{3}$ and $\small g(x)=x+2$ , what is $\small f(g(3))$ ?

3

Find the value of if $\frac{64}{27}=\left ( \frac{4}{3} \right )^{x}$

4

Simplify by expressing each term in exponential form.

$\frac{\sqrt[3]{8x^{7}}}{\sqrt[4]{81x^2}}$

5

Which real number satisfies $2^{n}\cdot 4=8^{2}$ ?

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