Question

please solve these questions​

Answer 1

CONCEPT USED:

1.

${x}^{0} = 1$

2.

${ ({x}^{a} )}^{b}$

${x}^{a \times b}$

3.

IN multiplication of exponent numbers, when Base is same then powers will add.

${x}^{2} \times {x}^{3} \\ {x}^{2 + 3} \\ {x}^{5}$

4.

IN division of exponent numbers, when Base is same then powers will subtract.

${x}^{4} \div {x}^{2} \\ {x}^{4 - 2} \\ {x}^{2}$

NOW COME TO YOUR QUESTION :

1.

${ { (\frac{9}{2} }^{0}) }^{5} \\ { \frac{9}{2} }^{0 \times 5} \\ { \frac{9}{2} }^{0} \\ 1$

2.

${ { (\frac{ - 5}{17} }^{6} )}^{3} \\ { \frac{ - 5}{17} }^{18}$

3.

${ \frac{ - 2}{5} }^{3} \times { { (\frac{ - 2}{5} }^{2}) }^{4} \\ { \frac{ - 2}{5} }^{3} \times { \frac{ - 2}{5} }^{8} \\ { \frac{ - 2}{5} }^{8 + 3} \\ { \frac{ - 2}{5} }^{11}$

4.

${ \frac{3}{5} }^{3} \div { \frac{3}{5} }^{8} \\ { \frac{3}{5} }^{3 - 8} \\ { \frac{3}{5} }^{ - 4} \\ (power \: is \: negative \: then \: it \: gets \: reciprocal) \\ { \frac{5}{3} }^{4}$

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