Math, asked by sofu12, 6 months ago

simplify and write in exponential form 2^-4×15^-3×625\5^2×10^-4​

Answers

Answered by TheNarayan
8

Step-by-step explanation:

▪️2^4×15^-3×625/5^2×10^-4

▪️=16×1/15^3×625/25×1/10^4

▪️=16×1/3375×25×1/10000

▪️=16×1/3375×1/400

▪️=16×1/400×1/3375

▪️=1/25×1/3375

▪️=1/84375

▪️=1/5^5×3^3

▪️=5^-5×3^-3

Hopes it help you❤️❤️

Answered by piyushogi
13

Answer:

(5/3)³

Step-by-step explanation:

2^-4×15^-3×625\5^2×10^-4​ = 10^4 × 5^4 / 2^4 × 15^3 × 5^2

                                             =  10^4 × 5^4/ 5^2 × 2^4 ×3^3 × 5^3

                                             = 10^4 × 5^4/ 5^5 × 2^4 × 3^3

                                             = 2^4 × 5^8 / 5^5 × 2^4 × 3^3

                                             = 5^3 / 3^3

                                             = (5/3)^3

Hope it helps ...!!

plzz mark brainliest!!

                                             =

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