Use exponent laws to write each expression with a positive power

Question 1

Question 2

Answer:

$\textsf{(a)} \quad (1)/(3^2)$

$\textsf{(b)} \quad (1)/((-2)^4)$

$\textsf{(c)} \quad 2^2$

Explanation:

$\textsf{Apply the exponent rule:} \quad a^(-n)=(1)/(a^n)$

$\implies 3^(-2)&=(1)/(3^2)$

$\hrulefill$

$\textsf{Apply the exponent rule:} \quad a^(-n)=(1)/(a^n)$

$\implies (-2)^(-4)&=(1)/((-2)^4)$

$\hrulefill$

$\textsf{Apply the exponent rule:} \quad \left((a)/(b)\right)^(-c)=\left((b)/(a)\right)^(c)$

$\implies \left((1)/(2)\right)^(-2)= \left((2)/(1)\right)^(2)$

As 2 / 1 = 2, then:

$\implies \left((1)/(2)\right)^(-2)=2^2$

Please log in or register to add a comment.