Question

Represent the following expressions as a power of the number a (a≠0)((a^2)^−2)^5÷(a^4a)^3

Answer 1

Answer:

a⁻³⁵

Step-by-step explanation:

((a²)⁻²)⁵ ÷ (a⁴a)³

((a²)⁻²)⁵ ÷ (a⁴a¹)³

= (a⁻⁴)⁵ ÷ (a⁵)³

= a⁻²⁰ ÷ a¹⁵

= a⁻²⁰⁻¹⁵

= a⁻³⁵

Exponent rules:

Multiplying two numbers with same base: add exponents

Dividing two numbers with same base: subtract exponents

Number with exponent raised to another exponent: multiply the exponents together