Express 21 ^ - 9 * (1/7) ^ 5 / ((21) ^ - 14) in power of 3.
some body plz solve this is this the impossible plz the maths experts
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Answer:
3⁵
Step-by-step explanation:
21^(-9) = 1/21⁹ = (1/(3⁹×7⁹)
(1/7)^5 = 1/7⁵
(21)^(-14) = 1/21¹⁴ = 1/(3¹⁴×7¹⁴)
21 ^ - 9 * (1/7) ^ 5 / ((21) ^ (- 14)) = 21¹⁴/(21⁹)(7⁵)
= 21^(14-9) /7⁵
= 21⁵/7⁵
= (7×3)⁵/7⁵
= 7⁵×3⁵/7⁵
= 7^(5-5) ×{3⁵)
= 7⁰ ×3⁵
= 1×3⁵ = 3⁵
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