Simplify: (i) 2^(2/3) · 2^(1/5) (ii) (1/3³)⁷ (iii) 11^(1/2) / 11^(1/4) (iv) 7^(1/2) · 8^(1/2)

Question

CASE_STUDIESLaws of Exponents for Real NumbersRational Exponents and Their Properties4 sub-questions

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Simplify (256)^(−(4^(−3/2)))

If 25^(x−1) = 5^(2x−1) − 100, find x.

Rational Exponents and Their Properties

The value of x in 3 + 2ˣ = (64)^(1/2) + (27)^(1/3) is

(625)^0.16 × (625)^0.09 =

Which of the following is equal to x?

The product ³√2 · ⁴√2 · ¹²√32 equals