Solve 9^3*5^3*9*5^4*9^5

$$9 ^ { 3 } \times 5 ^ { 3 } \times 9 \times 5 ^ { 4 } \times 9 ^ { 5 }$$

Evaluate

$$30267225703125$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

$$9^{4}\times 5^{3}\times 5^{4}\times 9^{5}$$

To multiply powers of the same base, add their exponents. Add 4 and 5 to get 9.

$$9^{9}\times 5^{3}\times 5^{4}$$

To multiply powers of the same base, add their exponents. Add 3 and 4 to get 7.

$$9^{9}\times 5^{7}$$

Calculate 9 to the power of 9 and get 387420489.

$$387420489\times 5^{7}$$

Calculate 5 to the power of 7 and get 78125.

$$387420489\times 78125$$

Multiply 387420489 and 78125 to get 30267225703125.

$$30267225703125$$

Factor

$$3^{18}\times 5^{7}$$