What is 3*10^{-a}+3*10^{-a} ?

The solution to 3*10^{-a}+3*10^{-a} is (3*2^{1-a})/(5^a)

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simplify 310^{-a}+310^{-a}

simplify

3 \cdot 1 0^{- a} + 3 \cdot 1 0^{- a}

\frac{3 \cdot 2 ^{1 - a}}{5 ^{a}}

Solution steps

3 \cdot 1 0^{- a} + 3 \cdot 1 0^{- a}

Add similar elements:

3 \cdot 1 0^{- a} + 3 \cdot 1 0^{- a} = 6 \cdot 1 0^{- a}

= 6 \cdot 1 0^{- a}

Apply exponent rule:

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

1 0^{- a} = \frac{1}{1 0 ^{a}}

= 6 \cdot \frac{1}{1 0 ^{a}}

Apply the fraction rule:

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

= \frac{6 \cdot 1}{1 0 ^{a}}

Multiply the numbers:

6 \cdot 1 = 6

= \frac{6}{1 0 ^{a}}

Factor the number:

6 = 2 \cdot 3

= \frac{2 \cdot 3}{1 0 ^{a}}

Factor

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

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

Apply exponent rule:

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

\frac{2 ^{1}}{2 ^{a}} = 2^{1 - a}

= \frac{2 ^{1 - a} \cdot 3}{5 ^{a}}

= \frac{3 \cdot 2 ^{1 - a}}{5 ^{a}}

\frac{2}{5} \div \frac{1}{7}

(100 s^{3})^{\frac{1}{2}}

- 5 - 5

(a^{\frac{1}{2}})^{5}

(z - \frac{1}{z})^{2}

What is 3*10^{-a}+3*10^{-a} ?
The solution to 3*10^{-a}+3*10^{-a} is (3*2^{1-a})/(5^a)