Solve A=7^10*(7^3/(7^9:7^2)

$$A = \frac { 7 ^ { 10 } \cdot ( 7 ^ { 3 } } { ( 7 ^ { 9 } : 7 ^ { 2 } ) }$$

Solve for A

$$A=117649$$

Steps for Solving Linear Equation

To multiply powers of the same base, add their exponents. Add 10 and 3 to get 13.

$$A=\frac{7^{13}}{\frac{7^{9}}{7^{2}}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 2 from 9 to get 7.

$$A=\frac{7^{13}}{7^{7}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 7 from 13 to get 6.

$$A=7^{6}$$

Calculate 7 to the power of 6 and get 117649.

$$A=117649$$

Assign A

$$A≔117649$$