Solve (4^2)^3=4^7quadb)

$$( 4 ^ { 2 } ) ^ { 3 } = 4 ^ { 7 } \quad b )$$

Solve for b

$$b=\frac{1}{4}=0.25$$

Steps for Solving Linear Equation

To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.

$$4^{6}=4^{7}b$$

Calculate 4 to the power of 6 and get 4096.

$$4096=4^{7}b$$

Calculate 4 to the power of 7 and get 16384.

$$4096=16384b$$

Swap sides so that all variable terms are on the left hand side.

$$16384b=4096$$

Divide both sides by 16384.

$$b=\frac{4096}{16384}$$

Reduce the fraction \frac{4096}{16384} to lowest terms by extracting and canceling out 4096.

$$b=\frac{1}{4}$$