Solve (2^5)^9*x=(2^6)^8

$$( 2 ^ { 5 } ) ^ { 9 } \cdot x = ( 2 ^ { 6 } ) ^ { 8 }$$

Solve for x

$$x=8$$

Steps for Solving Linear Equation

To raise a power to another power, multiply the exponents. Multiply 5 and 9 to get 45.

$$2^{45}x=\left(2^{6}\right)^{8}$$

To raise a power to another power, multiply the exponents. Multiply 6 and 8 to get 48.

$$2^{45}x=2^{48}$$

Calculate 2 to the power of 45 and get 35184372088832.

$$35184372088832x=2^{48}$$

Calculate 2 to the power of 48 and get 281474976710656.

$$35184372088832x=281474976710656$$

Divide both sides by 35184372088832.

$$x=\frac{281474976710656}{35184372088832}$$

Divide 281474976710656 by 35184372088832 to get 8.

$$x=8$$