Solve a=(10^2*10)^7:(10^4)^5

$$a = ( 10 ^ { 2 } \times 10 ) ^ { 7 } : ( 10 ^ { 4 } ) ^ { 5 }$$

Solve for a

$$a=10$$

Steps for Solving Linear Equation

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

$$a=\frac{\left(10^{3}\right)^{7}}{\left(10^{4}\right)^{5}}$$

To raise a power to another power, multiply the exponents. Multiply 3 and 7 to get 21.

$$a=\frac{10^{21}}{\left(10^{4}\right)^{5}}$$

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

$$a=\frac{10^{21}}{10^{20}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 20 from 21 to get 1.

$$a=10^{1}$$

Calculate 10 to the power of 1 and get 10.

$$a=10$$

Assign a

$$a≔10$$