Solve Exponential and Radical Equation: (1/2)^(3/2)√(2^(x+1)) = 1/√8

Math Problem Statement

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Algebra
Exponential Equations
Radicals

√(a^b)
a^m * a^n = a^(m+n)
Exponents and roots properties

Exponentiation
Square Roots

Grades 10-12

Solve the Exponential Equation Involving Cube Root and Radical

Solving Exponential Equation (1/2)^x = (2^(4/1))^(1/8)

Solve Equation with Exponents and Fractional Expressions

Solve Exponential Equation with Square Roots: (1/2)^(2x - 5) = sqrt(16 / 2^(2 - x))

Solving Exponential Equation with Fractional Exponents (1/2)^x = (2^4)^(1/8)