Math, asked by pishon61, 11 months ago

25 whole power 3 by 2 into 625 whole power minus 1 by 4

Answers

Answered by sherafgan354
0

Answer:

0.0598

Step-by-step explanation:

First take

(25)^3/2=125........(i)

then multiply (i) with 625

answer=125*625

answer=78125

Take the power (-1/4) of 78125

Answer=(78125)^(-1/4)

Answer=0.0598


Answered by abhi178
0
I think your question is ----> evaluate
25^{3/2}625^{1/4}

prime factors of 25 = 5 × 5 = 5²

prime factors of 625 = 5 × 5 × 5 × 5 = 5⁴

so, 25 = 5² and 625 = 5⁴

now, 25^{3/2}=(5^2)^{3/2}=5^3=125

625^{1/4}=(5^4)^{1/4}=5

hence, 25^{3/2}.625^{1/4}=125.5=625

so, answer is 625
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