What is (5^2*3^4)^3 ?

The solution to (5^2*3^4)^3 is 8303765625

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(5^2*3^4)^3

(5^{2} \cdot 3^{4})^{3}

8303765625

Solution steps

(5^{2} \cdot 3^{4})^{3}

Follow the PEMDAS order of operations

Calculate within parentheses

(5^{2} \cdot 3^{4}) : 2025

5^{2} \cdot 3^{4}

Calculate exponents

5^{2} : 25

5^{2}

5^{2} = 25

= 25

= 25 \cdot 3^{4}

Calculate exponents

3^{4} : 81

3^{4}

3^{4} = 81

= 81

= 25 \cdot 81

Multiply and divide (left to right)

25 \cdot 81 : 2025

25 \cdot 81

25 \cdot 81 = 2025

= 2025

= 2025

= 202 5^{3}

Calculate exponents

202 5^{3} : 8303765625

202 5^{3}

202 5^{3} = 8303765625

= 8303765625

= 8303765625

- 9 + 7 + 8

3 (5)^{2} + 2 (5) - 56

(2 + 3)^{2} + 8 \div 2

4 - 6 - 7

8 + 6 \div 3