The value of s in the given expression is; -1
How to simplify Algebraic Expressions?
We are given the expression;
¹/₆₄ = 4^(2s - 1)) * 16^(2s + 2)
This can be simplified to;
4⁻³ = 4^(2s - 1)) * 4^(2(2s + 2))
From laws of exponents we have;
4⁻³ = 4^(2s - 1 + 4s + 4)
4⁻³ = 4^(6s + 3)
From power rule in exponents;
-3 = 6s + 3
-6s = 3 + 3
s = -6/6
s = -1
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