What is (6.02x10^{23})(9.63x10^{-2}) ?

The solution to (6.02x10^{23})(9.63x10^{-2}) is 10^{21}*57.9726x^2

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simplify (6.02x10^{23})(9.63x10^{-2})

simplify

(6.02 x 1 0^{23}) (9.63 x 1 0^{- 2})

1 0^{21} \cdot 57.9726 x^{2}

Solution steps

(6.02 x \cdot 1 0^{23}) (9.63 x \cdot 1 0^{- 2})

Simplify

9.63 x \cdot 1 0^{- 2} : \frac{9.63 x}{100}

= 6.02 x \cdot 1 0^{23} \cdot \frac{9.63 x}{100}

Apply the fraction rule:

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

= \frac{6.02 x \cdot 1 0 ^{23} \cdot 9.63 x}{100}

Apply exponent rule:

aa = a^{2}

xx = x^{2}

= \frac{6.02 x ^{2} \cdot 1 0 ^{23} \cdot 9.63}{100}

Cancel

\frac{6.02 x ^{2} \cdot 1 0 ^{23} \cdot 9.63}{100} : 6.02 x^{2} \cdot 1 0^{21} \cdot 9.63

= 6.02 x^{2} \cdot 1 0^{21} \cdot 9.63

Multiply the numbers:

6.02 \cdot 9.63 = 57.9726

= 57.9726 x^{2} \cdot 1 0^{21}

= 1 0^{21} \cdot 57.9726 x^{2}

(3 x^{9} y) 3

\frac{e ^{a x}}{e ^{b x}}

e^{3} (e^{- 3})

27

What is (6.02x10^{23})(9.63x10^{-2}) ?
The solution to (6.02x10^{23})(9.63x10^{-2}) is 10^{21}*57.9726x^2