What is sqrt(1.7^5)*16 ?

The solution to sqrt(1.7^5)*16 is 46.24sqrt(17/10)

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simplify sqrt(1.7^5)*16

simplify

1. 7^{5} \cdot 16

46.24 \frac{17}{10}

Decimal Notation

60.28958 \dots

Solution steps

1. 7^{5} \cdot 16

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

1. 7^{4 + 1} = 1. 7^{4} \cdot 1.7

= 1. 7^{4} \cdot 1.7 \cdot 16

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

1. 7^{4} \cdot 1.7 = 1. 7^{4} 1.7

= 1. 7^{4} 1.7 \cdot 16

1. 7^{4} = 2.89

= 2.89 1.7 \cdot 16

1.7 = \frac{17}{10}

= 2.89 \frac{17}{10} \cdot 16

Multiply the numbers:

2.89 \cdot 16 = 46.24

= 46.24 \frac{17}{10}

(e^{- 2 t + 2})^{2}

1 + c 2

\frac{( e ^{x} )}{( e ^{x_{- 1}} )}

2.57 \cdot 1 0^{- 3}

\frac{b ^{2}}{( b + 1 ) ^{2}}