Solve a^2 a*b^2=9 - ScanMath

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Type your math problem... a^2 a*b^2=9

x

Question

Solve the equation

a = \frac{3 9 b}{b}

Evaluate

a^{2} \times a b^{2} = 9

Multiply

More Steps

Evaluate

a^{2} \times a b^{2}

Multiply the terms with the same base by adding their exponents

a^{2 + 1} b^{2}

Add the numbers

a^{3} b^{2}

a^{3} b^{2} = 9

Rewrite the expression

b^{2} a^{3} = 9

Divide both sides

\frac{b ^{2} a ^{3}}{b ^{2}} = \frac{9}{b ^{2}}

Divide the numbers

a^{3} = \frac{9}{b ^{2}}

Take the 3 -th root on both sides of the equation

3 a^{3} = 3 \frac{9}{b ^{2}}

Calculate

a = 3 \frac{9}{b ^{2}}

Solution

More Steps

Evaluate

3 \frac{9}{b ^{2}}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{3 9}{3 b ^{2}}

Multiply by the Conjugate

\frac{3 9 \times 3 b}{3 b ^{2} \times 3 b}

Calculate

\frac{3 9 \times 3 b}{b}

The product of roots with the same index is equal to the root of the product

\frac{3 9 b}{b}

a = \frac{3 9 b}{b}

Show Solution

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