Solve បាត A = ((32a ^ 2 * x ^ 8)(5a ^ 4 * x ^ 8))/((5ax)(- 2a ^ 2 * x ^ 2)(- 4a ^ 3 * x)) * 9 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$A = \frac { ( 32 a ^ { 2 } x ^ { 8 } ) ( 5 a ^ { 4 } x ^ { 8 } ) } { ( 5 a x ) ( - 2 a ^ { 2 } x ^ { 2 } ) ( - 4 a ^ { 3 } x ) }$$

Solve for A

$A=4x^{12}$
$x\neq 0\text{ and }a\neq 0$

Solution Steps

To multiply powers of the same base, add their exponents. Add $2$ and $4$ to get $6$.

$$A=\frac{32a^{6}x^{8}\times 5x^{8}}{5ax\left(-2\right)a^{2}x^{2}\left(-4\right)a^{3}x}$$

To multiply powers of the same base, add their exponents. Add $8$ and $8$ to get $16$.

$$A=\frac{32a^{6}x^{16}\times 5}{5ax\left(-2\right)a^{2}x^{2}\left(-4\right)a^{3}x}$$

To multiply powers of the same base, add their exponents. Add $1$ and $2$ to get $3$.

$$A=\frac{32a^{6}x^{16}\times 5}{5a^{3}x\left(-2\right)x^{2}\left(-4\right)a^{3}x}$$

To multiply powers of the same base, add their exponents. Add $3$ and $3$ to get $6$.

$$A=\frac{32a^{6}x^{16}\times 5}{5a^{6}x\left(-2\right)x^{2}\left(-4\right)x}$$

To multiply powers of the same base, add their exponents. Add $1$ and $2$ to get $3$.

$$A=\frac{32a^{6}x^{16}\times 5}{5a^{6}x^{3}\left(-2\right)\left(-4\right)x}$$

To multiply powers of the same base, add their exponents. Add $3$ and $1$ to get $4$.

$$A=\frac{32a^{6}x^{16}\times 5}{5a^{6}x^{4}\left(-2\right)\left(-4\right)}$$

Cancel out $2\times 4\times 5x^{4}a^{6}$ in both numerator and denominator.

$$A=\frac{4x^{12}}{-\left(-1\right)}$$

Multiply $-1$ and $-1$ to get $1$.

$$A=\frac{4x^{12}}{1}$$

Anything divided by one gives itself.

$$A=4x^{12}$$

Solve for a

$a\neq 0$
$A=4x^{12}\text{ and }x\neq 0$