Solve for a (a^15)/(a^5)=a^10

$\frac{a^{15}}{a^{5}} = a^{10}$

Reduce the expression by cancelling the common factors.

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Reduce the expression $\frac{a^{15}}{a^{5}}$ by cancelling the common factors.

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Factor $a^{5}$ out of $a^{15}$ .

$\frac{a^{5} a^{10}}{a^{5}} = a^{10}$

Multiply by $1$ .

$\frac{a^{5} a^{10}}{a^{5} \cdot 1} = a^{10}$

Cancel the common factor.

$\frac{a^{5} a^{10}}{a^{5} \cdot 1} = a^{10}$

Rewrite the expression.

$\frac{a^{10}}{1} = a^{10}$

Divide $a^{10}$ by $1$ .

$a^{10} = a^{10}$

Move all terms containing $a$ to the left side of the equation.

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Subtract $a^{10}$ from both sides of the equation.

$a^{10} - a^{10} = 0$

Subtract $a^{10}$ from $a^{10}$ .

$0 = 0$

Since $0 = 0$ , the equation will always be true for any value of $a$ .

All real numbers

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$

Solve for a (a^15)/(a^5)=a^10

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