What is pi/4 ((15)(10^{-2})) ?

The solution to pi/4 ((15)(10^{-2})) is (3pi)/(80)

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simplify pi/4 ((15)(10^{-2}))

simplify

\frac{π}{4} ((15) (1 0^{- 2}))

\frac{3 π}{80}

Decimal Notation

0.11780 \dots

Solution steps

\frac{π}{4} ((15) (1 0^{- 2}))

Apply exponent rule:

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

= 15 \cdot \frac{π}{4} \cdot \frac{1}{1 0 ^{2}}

Multiply fractions:

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

= \frac{π 1 \cdot 15}{4 \cdot 1 0 ^{2}}

Multiply the numbers:

1 \cdot 15 = 15

= \frac{15 π}{1 0 ^{2} \cdot 4}

Factor

15 : 3 \cdot 5

Factor

1 0^{2} : 2^{2} \cdot 5^{2}

= \frac{3 \cdot 5 π}{2 ^{2} \cdot 5 ^{2} \cdot 4}

Cancel the common factor:

5

= \frac{3 π}{2 ^{2} \cdot 4 \cdot 5}

Multiply the numbers:

4 \cdot 5 = 20

= \frac{3 π}{2 ^{2} \cdot 20}

20 \cdot 2^{2} = 80

= \frac{3 π}{80}

e^{- 5}

\frac{( ( 3 ^{3} ) ^{2} ) ^{2}}{9 ^{2}}

(3 + 5) (3 + 5)

4^{n} \cdot (- \frac{1}{4})^{n}

\frac{30}{1 0 ^{6}} \cdot e^{- 2}

What is pi/4 ((15)(10^{-2})) ?
The solution to pi/4 ((15)(10^{-2})) is (3pi)/(80)