Question

help me with this math question and you will get a reward

Answer 1

$\large{\bf{\underline{\underline{\blue{HEY\:USER}}}}}$

$\large{\bf{\underline{\underline{\blue{ANSWER}}}}}$

GIVEN:-

$5^-2×3\sqrt{8}$

We can write it as-

$\bf{5^-2×2^3^\frac{1}{3}}$

$\frac{1}{25}×2$

$\frac{2}{25}$

$0.02$

$\bf{\underline{\blue{SOME\: EXPONENT\:RULE}}}$

• $a^mn=(a^m)^n$

• $a^m+a^n=a^m+n$

Thank You!

Answer 2

$\huge\mathfrak\pink{Answer}$

» Question -

$5^{-2} \times ^3\sqrt{8}$

» We know that,

${\pink{\boxed{a^{-m} = \frac{1}{a^m} }}}$

${\purple{\boxed{ (a^m)^n = a^{mn} }}}$

» Solution -

$5^{-2} = \frac{1} {5^2}$

$= \frac{1}{25}\\ \\ \\</p><p>^3\sqrt{8} =$

$(8= 2^3) \: ^3\sqrt{2^3}\\ \\ \\</p><p> = (2)^{3 \times\frac{1}{3}}\\ \\ \\</p><p> = 2^1 = 2$

$by \:putting\:the \: simplified\:versions\\ \\ \\ </p><p>5^{-2}\times^3\sqrt{8} = \frac{1}{25}\times 2\\ \\ \\</p><p> = \frac{2}{25}\\ \\ \\ = {\pink{\boxed{5^{-2}\times ^3\sqrt{8} = 0.08 }}}$