Simplify and express the result in the form of negative exponent.
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here i have done full some step by step
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Here,
(1/4)^-2 × (1/2)^-3 × (8)⁴
we know,
x^ -m = 1/x^m
use this here,
(1/4)^-2 = 1/(1/4)² = (4)² = 16
(1/2)^-3 = 1/(1/2)³ = (2)³ = 8
now,
= 16 × 8 × (8)⁴
= 8 × 2 × 8 × (8)⁴
= (8)^6 × 2
= 2 × (2³)^6
= 2 × (2)^18
= 2^ 19
hence, answer is 2^19 or 524288
and in the negative form is (1/2)^-19
(1/4)^-2 × (1/2)^-3 × (8)⁴
we know,
x^ -m = 1/x^m
use this here,
(1/4)^-2 = 1/(1/4)² = (4)² = 16
(1/2)^-3 = 1/(1/2)³ = (2)³ = 8
now,
= 16 × 8 × (8)⁴
= 8 × 2 × 8 × (8)⁴
= (8)^6 × 2
= 2 × (2³)^6
= 2 × (2)^18
= 2^ 19
hence, answer is 2^19 or 524288
and in the negative form is (1/2)^-19
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