Question

1 a) Find the value of 49^-1/2

Answer 1

Answer:

$49 ^{ - \frac{1}{2} } \\ (7 ^{2} ) ^{ - \frac{1}{2} } \\ 7 ^{2 \times - \frac{1}{2} } \\ 7 ^{ \frac{ - 2}{2} } \\ 7^{ - 1} \\ \frac{1}{7 ^{1} } \\ \frac{1}{7}$

Answer 2

Answer:

± $\frac{1}{7}$

Step-by-step explanation:

Using the rules of exponents

$a^{-m}$ = $\frac{1}{a^{m} }$ , $a^{\frac{1}{2} }$ = $\sqrt{a}$ , then

$49^{-\frac{1}{2} }$ = $\frac{1}{49^{\frac{1}{2} } }$ = $\frac{1}{\sqrt{49} }$ = ± $\frac{1}{7}$