What is (-11)^2+7^8\div 7^5 ?

The solution to (-11)^2+7^8\div 7^5 is 464

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(-11)^2+7^8\div 7^5

(- 11)^{2} + 7^{8} \div 7^{5}

464

Solution steps

(- 11)^{2} + 7^{8} \div 7^{5}

Follow the PEMDAS order of operations

Calculate exponents

(- 11)^{2} : 121

(- 11)^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- 11)^{2} = 1 1^{2} = 121

= 121

= 121 + 7^{8} \div 7^{5}

Calculate exponents

7^{8} : 5764801

7^{8}

7^{8} = 5764801

= 5764801

= 121 + 5764801 \div 7^{5}

Calculate exponents

7^{5} : 16807

7^{5}

7^{5} = 16807

= 16807

= 121 + 5764801 \div 16807

Multiply and divide (left to right)

5764801 \div 16807 : 343

5764801 \div 16807

5764801 \div 16807 = 343

= 343

= 121 + 343

Add and subtract (left to right)

121 + 343 : 464

121 + 343

121 + 343 = 464

= 464

= 464

(65/ (- 13)) + (9 \cdot 7) + (- ((10 \cdot 8) + (- 3) - (- 2)))

- 7 (- 4 + 2) + 5 - (3 \times 8)

4 + 2^{3}

3^{2} + 1 0^{2}

3 (3)^{2} - 4 (3) - 4