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GB-13-02-001 · Dividing powers

Simplify y21y4\frac{y^{21}}{y^{4}} for y≠0y\ne0.

Index Laws: Algebraic Division Booklet p. 1
Method
Use xᵃ ÷ xᵇ = xᵃ⁻ᵇ: keep the base the same and subtract the powers
Worked Example (GB-13-02-001)
Booklet p. 1: xa÷xb=xa−b\mathbf{x^a \div x^b = x^{a-b}}
y21÷y4=y21−4=y17y^{21} \div y^{4} = y^{21 - 4} = \mathbf{y^{17}}
y17y^{17}