Question

please tell the answer of this question​

Answer 1

Step-by-step explanation:

$\frac{5^{9}*2^{3}*5^{3}*2^{4} }{5^{7}*2^{4}*5^{8}}\\\\\frac{5^{9+3}*2^{3+4} }{5^{8+7}*2^{4} }\\\\\frac{5^{12}*2^{7} }{5^{15}*2^{4} } \\\\5^{12-15} * 2^{7-4} \\\\5^{-3} *2^{3}\\\\\frac{1^{3} }{5} *2^{3} \\\\\frac{1}{125} *8$

• firstly, we simplified the exponents which had same base and were multiplying i.e       $a^{m} *a^{n} =a^{m+n}$

• Secondly, we subtracted the powers when their bases were same and was being divided i.e,   $\frac{a^{m} }{a^{n} } = a^{m-n}$

• On doing so, we obtained a more simplified form, but, as its power was negative we just did its reciprocal i.e,   $a^{-m} = \frac{1^{m} }{a}$

• Hence we simplified it.

here, I used * as the multiplying sign

                       ------✨HOPE IT HELPS✨------

Answer 2

1÷5^3 × 2^3 is the solution

Step-by-step explanation:

Use laws of exponent for solving these questions

______✨BEST__OF__LUCK✨______