What is (7^4+21\times 7^2)/(7^3) ?

The solution to (7^4+21\times 7^2)/(7^3) is 10

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(7^4+21\times 7^2)/(7^3)

\frac{7 ^{4} + 21 \cdot 7 ^{2}}{7 ^{3}}

10

Solution steps

\frac{7 ^{4} + 21 \cdot 7 ^{2}}{7 ^{3}}

Solve

7^{4} + 21 \cdot 7^{2} : 3430

Follow the PEMDAS order of operations

Calculate exponents

7^{4} : 2401

7^{4}

7^{4} = 2401

= 2401

= 2401 + 21 \cdot 7^{2}

Calculate exponents

7^{2} : 49

7^{2}

7^{2} = 49

= 49

= 2401 + 21 \cdot 49

Multiply and divide (left to right)

21 \cdot 49 : 1029

21 \cdot 49

21 \cdot 49 = 1029

= 1029

= 2401 + 1029

Add and subtract (left to right)

2401 + 1029 : 3430

2401 + 1029

2401 + 1029 = 3430

= 3430

= 3430

Solve

7^{3} : 343

7^{3} = 343

= 343

= \frac{3430}{343}

Divide the numbers:

\frac{3430}{343} = 10

= 10

4 (1) + 6

(1^{2} + 1)^{2}

1 + \frac{1}{4}

1 + \frac{1}{2}

2 (10 \times 12 + 6 \times 12 + 6 \times 10)

What is (7^4+21\times 7^2)/(7^3) ?
The solution to (7^4+21\times 7^2)/(7^3) is 10