Question

Evaluate 5 raise to -9X5 raise to 6​

Answer 1

$\red{ Value \: of \: 5^{-9} \times 5^{6} } \\= 5^{-9+6}$

/* By Exponential Law */

$\boxed { \pink { x^{m} \times x^{n} = x^{m+n} }}$

$= 5^{-3} \\= \frac{1}{5^{3}}$

$\boxed { \blue { Since, a^{-n} = \frac{1}{a^{n}} }}$

$= \frac{1}{125}$

Therefore.,

$\red{ Value \: of \: 5^{-9} \times 5^{6} } \green {= \frac{1}{125} }$

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Answer 2

Answer:

$\huge\mathcal{\pink{answer = \frac{1}{125}} }$

Step-by-step explanation:

${\purple{value \: of \: {5}^{ - 9} \times {5}^{6}}}$

${by \: expontial \: law}$

$\boxed{\green{ {x}^{m} \times {x}^{n} = {x}^{m + n} }}$

${\pink{= {5}^{ - 3} }}$

${\pink{ = \frac{1}{ {5}^{3}} } }$

$\boxed{\purple{Since,\: {a}^{-n}= \frac{1}{ {a}^{n} }}}$

$= \frac{1}{125}$