What is (7^2-5^2)/(-4) ?

The solution to (7^2-5^2)/(-4) is -6

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(7^2-5^2)/(-4)

\frac{7 ^{2} - 5 ^{2}}{- 4}

- 6

Solution steps

\frac{7 ^{2} - 5 ^{2}}{- 4}

Solve

7^{2} - 5^{2} : 24

Follow the PEMDAS order of operations

Calculate exponents

7^{2} : 49

7^{2}

7^{2} = 49

= 49

= 49 - 5^{2}

Calculate exponents

5^{2} : 25

5^{2}

5^{2} = 25

= 25

= 49 - 25

Add and subtract (left to right)

49 - 25 : 24

49 - 25

49 - 25 = 24

= 24

= 24

= \frac{24}{- 4}

Simplify

\frac{24}{- 4} : - 6

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{24}{4}

Divide the numbers:

\frac{24}{4} = 6

= - 6

= - 6

5 - 3 (2 - 12) + 8 (11 - 14)

(- 4)^{2} - (- 1)^{4}

- 7 [9 - 2 (3 + 1)] + 5

4 \times 5 - 3

8 + 9 - 2 \times 3