Question

4-3x032-2-2x255555666666666666

Answer 1

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given expression

$4^{-3}\times4^0$

STEP 2: Simplify the expression

$\begin{gathered} 4^{-3}\times4^0 \\ \mathrm{Apply\: exponent\: rule}\colon\quad \: a^b\times\: a^c=a^{b+c} \\ 4^{-3}\times\: 4^0=4^{-3+0} \\ \mathrm{Add/Subtract\: the\: }indice\mathrm{s\colon}\: -3+0=-3 \\ =4^{\mleft\{-3\mright\}} \\ \mathrm{Apply\: exponent\: rule}\colon\quad \: a^{-b}=\frac{1}{a^b} \\ 4^{\{-3\}}=\frac{1}{4^3} \end{gathered}$

Hence, the expression is equivalent to:

$\frac{1}{4^3}$