What is 10.9((20.72^2)/(26.34^2)) ?

The solution to 10.9((20.72^2)/(26.34^2)) is 6.74488…

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simplify 10.9((20.72^2)/(26.34^2))

simplify

10.9 (\frac{20.7 2 ^{2}}{26.3 4 ^{2}})

6.74488 \dots

Solution steps

10.9 (\frac{20.7 2 ^{2}}{26.3 4 ^{2}})

Apply exponent rule:

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

\frac{20.7 2 ^{2}}{26.3 4 ^{2}} = (\frac{20.72}{26.34})^{2}

= 10.9 (\frac{20.72}{26.34})^{2}

(\frac{20.72}{26.34})^{2} = \frac{20.7 2 ^{2}}{26.3 4 ^{2}}

= 10.9 \cdot \frac{20.7 2 ^{2}}{26.3 4 ^{2}}

Multiply fractions:

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

= \frac{20.7 2 ^{2} \cdot 10.9}{26.3 4 ^{2}}

20.7 2^{2} \cdot 10.9 = 4679.57056

= \frac{4679.57056}{26.3 4 ^{2}}

26.3 4^{2} = 693.7956

= \frac{4679.57056}{693.7956}

Divide the numbers:

\frac{4679.57056}{693.7956} = 6.74488 \dots

= 6.74488 \dots

(789) (9 \cdot 1 0^{- 6}) (9.8)

x - a \cdot x + a

\frac{156.9 6 ^{2}}{117.7 2 ^{2}}

6.8 \cdot 1 0^{- 4} \cdot 57

What is 10.9((20.72^2)/(26.34^2)) ?
The solution to 10.9((20.72^2)/(26.34^2)) is 6.74488…