Question

Simplifying expressions with exponents

Answer 1

`\bf (2x^2y^3)^2(3y)\implies (2x^2y^3)^2(3y^1)\implies (2x^(2\cdot 2)y^(3\cdot 2))(3y^1) \\\\\\ 2x^4y^63y^1\implies 2\cdot 3x^4y^(6+1)\implies 6x^4y^7`

Answer 2

When dividing two terms with the same base, subtract the exponent in the denominator from the exponent in the numerator: Power of a Power: To raise a power to a power, multiply theexponents.