Solve (a^2*a^3)^4diva^6

$$( a ^ { 2 } \cdot a ^ { 3 } ) ^ { 4 } \div a ^ { 6 }$$

Evaluate

$$a^{14}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 3 to get 5.

$$\frac{\left(a^{5}\right)^{4}}{a^{6}}$$

To raise a power to another power, multiply the exponents. Multiply 5 and 4 to get 20.

$$\frac{a^{20}}{a^{6}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 6 from 20 to get 14.

$$a^{14}$$

Expand

$$a^{14}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 3 to get 5.

$$\frac{\left(a^{5}\right)^{4}}{a^{6}}$$

To raise a power to another power, multiply the exponents. Multiply 5 and 4 to get 20.

$$\frac{a^{20}}{a^{6}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 6 from 20 to get 14.

$$a^{14}$$