Question

2 matching 1 point
watch help video #2
match a - d with their simplified form:
a) $3^{-4}$
b) $\frac{5}{3^{-2}}$
c) $x^{-3}$
d) $\frac{4}{g^{-2}}$
a
b
c
d

Explanation:

Step1: Simplify negative exponent (A)

Use rule $a^{-n}=\frac{1}{a^n}$:
$3^{-4}=\frac{1}{3^4}=\frac{1}{81}$

Step2: Simplify denominator negative exponent (B)

Use rule $\frac{1}{a^{-n}}=a^n$:
$\frac{5}{3^{-2}}=5\times3^2=5\times9=45$

Step3: Simplify variable negative exponent (C)

Use rule $a^{-n}=\frac{1}{a^n}$:
$x^{-3}=\frac{1}{x^3}$

Step4: Simplify denominator variable exponent (D)

Use rule $\frac{1}{a^{-n}}=a^n$:
$\frac{4}{g^{-2}}=4g^2$

Answer:

A: $\frac{1}{81}$
B: $45$
C: $\frac{1}{x^3}$
D: $4g^2$