Question

(-31)ᵃ⁺¹¹ × (-31)⁻¹⁵ = (-31)²⁷

Answer 1

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Explanation:

Concept used :

• If two values having base same with different powers then their power gets added in multiplication and gets substracted in division.

${( - 31)}^{a + 11} \times {( - 31)}^{ - 15} = {( - 31)}^{27}$

$= > {( - 31)}^{a + 11 + ( -1 5)} = {( - 31)}^{27}$

$= > {( - 31)}^{a - 4} = {( - 31)}^{27}$

$= > a - 4 = 27$

$\bold{\pink{ a = 31}}$

Check:-

$= > {( - 31)}^{31 + 11} \times {( - 31)}^{ - 15}$

$= > {( - 31)}^{42} \times {( - 31)}^{ - 15}$

$= > {( - 31)}^{42 - 15}$

$= > {( - 31)}^{27}$