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Popular >

simplify 1.5*10^{-34^2}

Solution

simplify

1.5 \cdot 1 0^{- 3 4^{2}}

Solution

\frac{3}{5 ^{1156} \cdot 2 ^{1157}}

Solution steps

1.5 \cdot 1 0^{- 3 4^{2}}

Apply exponent rule:

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

1 0^{- 3 4^{2}} = \frac{1}{1 0 ^{3 4^{2}}}

= 1.5 \cdot \frac{1}{1 0 ^{3 4^{2}}}

3 4^{2} = 1156

= 1.5 \cdot \frac{1}{1 0 ^{1156}}

1.5 \cdot \frac{1}{1 0 ^{1156}} = \frac{1.5}{1 0 ^{1156}}

= \frac{1.5}{1 0 ^{1156}}

\frac{1.5}{1 0 ^{1156}} = \frac{15}{10 \cdot 1 0 ^{1156}}

= \frac{15}{10 \cdot 1 0 ^{1156}}

10 \cdot 1 0^{1156} = 1 0^{1157}

= \frac{15}{1 0 ^{1157}}

Factor the number:

15 = 5 \cdot 3

= \frac{5 \cdot 3}{1 0 ^{1157}}

Factor

1 0^{1157} : 5^{1157} \cdot 2^{1157}

= \frac{5 \cdot 3}{5 ^{1157} \cdot 2 ^{1157}}

\frac{5}{5 ^{1157}} = \frac{1}{5 ^{1156}}

= \frac{3}{5 ^{1156} \cdot 2 ^{1157}}

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Frequently Asked Questions (FAQ)

What is 1.5*10^{-34^2} ?
The solution to 1.5*10^{-34^2} is 3/(5^{1156)*2^{1157}}