What is (7^6+7^5-7^4)/(11) ?

The solution to (7^6+7^5-7^4)/(11) is 12005

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(7^6+7^5-7^4)/(11)

\frac{7 ^{6} + 7 ^{5} - 7 ^{4}}{11}

12005

Solution steps

\frac{7 ^{6} + 7 ^{5} - 7 ^{4}}{11}

Solve

7^{6} + 7^{5} - 7^{4} : 132055

Follow the PEMDAS order of operations

Calculate exponents

7^{6} : 117649

7^{6}

7^{6} = 117649

= 117649

= 117649 + 7^{5} - 7^{4}

Calculate exponents

7^{5} : 16807

7^{5}

7^{5} = 16807

= 16807

= 117649 + 16807 - 7^{4}

Calculate exponents

7^{4} : 2401

7^{4}

7^{4} = 2401

= 2401

= 117649 + 16807 - 2401

Add and subtract (left to right)

117649 + 16807 - 2401 : 132055

117649 + 16807 - 2401

117649 + 16807 = 134456

= 134456 - 2401

134456 - 2401 = 132055

= 132055

= 132055

= \frac{132055}{11}

Divide the numbers:

\frac{132055}{11} = 12005

= 12005

12 (3)^{2} - 24 (3)

\frac{3}{2} \times 6 - 3 + \frac{5}{3} \times 3

2 \cdot 3 - 4 \div 2 - 2

3 (0) + 2

3 (0) - 1