Question

Find the value of (root 4)power -7 * (root 2)power 5

Answer 1

Hey friend,
Here is the answer you were looking for:
${ \sqrt{4} }^{ - 7} \times { \sqrt{2} }^{5} \\ \\ = \frac{1}{ { \sqrt{4} }^{7} } \times { \sqrt{2} }^{5} \\ \\ = \frac{1}{ \sqrt{4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4} } \times \sqrt{2 \times 2 \times 2 \times 2 \times 2} \\ \\ = \frac{1}{4 \times 4 \times 4 \sqrt{4} } \times 2 \times 2 \sqrt{2} \\ \\ = \frac{1}{64 \sqrt{2 \times 2} } \times 4 \sqrt{2} \\ \\ = \frac{4 \sqrt{2} }{64 \times 2} \\ \\ = \frac{ \sqrt{2} }{16 \times 2} \\ \\ = \frac{ \sqrt{2} }{32}$

Hope this helps!!!

@Mahak24

Thanks...
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