select all the expressions that are equivalent to $(4^{5})^{-6}$.$\frac{1}{4^{30}}$$4^{-1}$$\frac{1}{4^{-1}}$…

select all the expressions that are equivalent to $(4^{5})^{-6}$.$\frac{1}{4^{30}}$$4^{-1}$$\frac{1}{4^{-1}}$$4^{-30}$submit

select all the expressions that are equivalent to $(4^{5})^{-6}$.$\frac{1}{4^{30}}$$4^{-1}$$\frac{1}{4^{-1}}$$4^{-30}$submit

Answer

Explanation:

Step1: Apply exponent power rule

When raising a power to a power, multiply exponents: $(a^m)^n = a^{m \times n}$. For $(4^5)^{-6}$, calculate $5 \times (-6) = -30$, so $(4^5)^{-6} = 4^{-30}$.

Step2: Rewrite negative exponent

A negative exponent means reciprocal: $a^{-n} = \frac{1}{a^n}$. For $4^{-30}$, this equals $\frac{1}{4^{30}}$.

Answer:

$\frac{1}{4^{30}}$, $4^{-30}$