Solve (4²)³ + (g³)⁴: Multiple Exponent Expression Problem

Question

(42)3+(g3)4= (4^2)^3+(g^3)^4=

Video Solution

Solution Steps

00:00 Solve
00:02 When there is a power of a power, the combined exponent is the product of the exponents

Step-by-Step Solution

We use the formula:

(am)n=am×n (a^m)^n=a^{m\times n}

(42)3+(g3)4=42×3+g3×4=46+g12 (4^2)^3+(g^3)^4=4^{2\times3}+g^{3\times4}=4^6+g^{12}

Answer

46+g12 4^6+g^{12}

More Questions

Related Subjects

Exponents and Exponent rules Rules of Exponentiation Combining Powers and Roots Properties of Exponents Power of a Power

Question Types

Power of a Power: Applying the formula Applying Combined Exponents Rules: Single Variable Applying Combined Exponents Rules: Applying the formula Applying Combined Exponents Rules: Monomial Applying Combined Exponents Rules: A power law