What is (793.2+349.2)(2-7.8)^{-2} ?

The solution to (793.2+349.2)(2-7.8)^{-2} is 33.95957…

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simplify (793.2+349.2)(2-7.8)^{-2}

simplify

(793.2 + 349.2) (2 - 7.8)^{- 2}

33.95957 \dots

Solution steps

(793.2 + 349.2) (2 - 7.8)^{- 2}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{( 2 - 7.8 ) ^{2}} (349.2 + 793.2)

Add the numbers:

793.2 + 349.2 = 1142.4

= 1142.4 \cdot \frac{1}{( 2 - 7.8 ) ^{2}}

\frac{1}{( 2 - 7.8 ) ^{2}} = \frac{1}{5. 8 ^{2}}

= 1142.4 \cdot \frac{1}{5. 8 ^{2}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 1142.4}{5. 8 ^{2}}

Multiply the numbers:

1 \cdot 1142.4 = 1142.4

= \frac{1142.4}{5. 8 ^{2}}

5. 8^{2} = 33.64

= \frac{1142.4}{33.64}

Divide the numbers:

\frac{1142.4}{33.64} = 33.95957 \dots

= 33.95957 \dots

30 y^{2} y z

x^{\frac{3}{25 x}}

1.09 \cdot 1 0^{- 5}

944 \cdot (1.6 \cdot 1 0^{- 19})

What is (793.2+349.2)(2-7.8)^{-2} ?
The solution to (793.2+349.2)(2-7.8)^{-2} is 33.95957…