Question

[(3/5)²×(3/5)³]÷ [(9/25)²×(3/5)] simplify by laws of exponents​

Answer 1

Question :

$\sf \small[ { (\frac{3}{5} )}^{2} \times {( \frac{3}{5}) }^{3} ] \div [ {( \frac{9}{25}) }^{2} \times ( \frac{3}{5}) ] \: simplify \: using \: the \: laws \: of \: exponents$

Laws of Exponents

When multiplying like bases, keep the base the same and add the exponents. When raising a base with a power to another power, keep the base the same and multiply the exponents. When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent.

Solution :

$\sf \small[ { (\frac{3}{5} )}^{2} \times {( \frac{3}{5}) }^{3} ] \div [ {( \frac{9}{25}) }^{2} \times ( \frac{3}{5}) ]$

$\sf \small[ { (\frac{3}{5} )}^{2} \times {( \frac{3}{5}) }^{3} ] \div [ {( \frac{3}{5}) }^{4} \times ( \frac{3}{5}) ^{1} ]$

$\sf \small [ (\frac{3}{5})^{2 + 3} ] \div [ (\frac{3}{5}) ^{4 + 1} ]$

$\sf \small { (\frac{3}{5} )}^{5} \div { (\frac{3}{5} )}^{5}$

To make it easy we will do further simplify it

$\sf \small \frac{ {3}^{5} }{ {5}^{5} } \div \frac{ {3}^{5} }{ {5}^{5} }$

$\sf \small\frac{ {3}^{5} }{ {5}^{5} } \times\frac{ {5}^{5} }{ {3}^{5} }$

$\sf \small1$

Final Answer :

• So the answer is 1

Answer 2

last ans is 1

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..ok full ans in picture