Solve (x^3*x^5)^7*x^4=

$$( x ^ { 3 } \cdot x ^ { 5 } ) ^ { 7 } \cdot x ^ { 4 } =$$

Evaluate

$$x^{60}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 5 to get 8.

$$\left(x^{8}\right)^{7}x^{4}$$

To raise a power to another power, multiply the exponents. Multiply 8 and 7 to get 56.

$$x^{56}x^{4}$$

To multiply powers of the same base, add their exponents. Add 56 and 4 to get 60.

$$x^{60}$$

Expand

$$x^{60}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 5 to get 8.

$$\left(x^{8}\right)^{7}x^{4}$$

To raise a power to another power, multiply the exponents. Multiply 8 and 7 to get 56.

$$x^{56}x^{4}$$

To multiply powers of the same base, add their exponents. Add 56 and 4 to get 60.

$$x^{60}$$