Question

5 root 5 into 5 cube divided by 5 whole power 3 by 2​

Answer 1

$\frac{5 \sqrt{5} \times 5^3}{5^{\frac{3}{2}}} = 125$

Solution:

Given that,

We have to find:

$\frac{5 \sqrt{5} \times 5^3}{5^{\frac{3}{2}}}$

Simplify the numerator

$\frac{5 \times 5^{\frac{1}{2}} \times 5^3}{5^{\frac{3}{2}}} \\\\We\ know\ that\\\\a^m \times a^n = a^{m+n}\\\\Therefore$

$\frac{5^{\frac{9}{2}} }{5^{\frac{3}{2}}}\\\\We\ know\ that\\\\\frac{a^m}{a^n} = a^{m-n}$

$Therefore \\\\\ 5^ { \frac{9}{2} - \frac{3}{2} }\\\\5^{ 3}\\\\\5^{125}$

Thus the value is found

Learn more:

(361)power 3+ (139)power 3/361*361-361*139+139*139

https://brainly.in/question/3805588

Simplify :(361)^3 +(139)^ 3÷

(361)^2- (361X139) +(139)^2​

https://brainly.in/question/14649151

Answer 2

Answer:

15625

Step-by-step explanation:

$5^{4}$$\sqrt{5}$ / ($\frac{1}{5}$)^3/2

=$5^{4}$*$\sqrt{5}$*($\sqrt{5}$)^3

=5^4*5*2

=5^(4+2)

=5^6=15625

Sorry, but I could not take a picture of the sum which I did in copy, because I agree that it would have ben easier to understand.