Question

Express 21 ^ - 9 * (1/7) ^ 5 / ((21) ^ - 14) in power of 3.​

Answer 1

Step-by-step explanation:

21^(-9) = 1/21⁹ = 1/(7⁹×3⁹)

(1/7)⁵ = 1/7⁵

21^(-14) = 1/21¹⁴ = 1/(7¹⁴×3¹⁴)

[(1/21⁹) × (1/7⁵)] / (1/21¹⁴) = 21¹⁴/(21⁹x7⁵)

=( 7¹⁴×3¹⁴) / (7⁵× 7⁹ × 3⁹)

= 7^(14-5-9) × (3^(14-9))

= 7⁰ × 3⁵ = 1×3⁵

= 3⁵