What is (7.5x10^{24})(2.7x10^{22}) ?

The solution to (7.5x10^{24})(2.7x10^{22}) is 2.025E47x^2

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simplify (7.5x10^{24})(2.7x10^{22})

simplify

(7.5 x 1 0^{24}) (2.7 x 1 0^{22})

2.025 E 47 x^{2}

Solution steps

(7.5 x \cdot 1 0^{24}) (2.7 x \cdot 1 0^{22})

Apply exponent rule:

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

1 0^{24} \cdot 1 0^{22} = 1 0^{24 + 22}

= 7.5 x \cdot 2.7 x \cdot 1 0^{24 + 22}

Add the numbers:

24 + 22 = 46

= 7.5 x \cdot 2.7 x \cdot 1 0^{46}

Apply exponent rule:

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

xx = x^{1 + 1}

= 7.5 \cdot 2.7 x^{1 + 1} \cdot 1 0^{46}

Add the numbers:

1 + 1 = 2

= 7.5 \cdot 2.7 x^{2} \cdot 1 0^{46}

Multiply the numbers:

7.5 \cdot 2.7 = 20.25

= 1 0^{46} \cdot 20.25 x^{2}

Convert element to a decimal form

1 0^{46} = 1.0 E 46

= 20.25 \cdot 1.0 E 46 x^{2}

Multiply the numbers:

20.25 \cdot 1.0 E 46 = 2.025 E 47

= 2.025 E 47 x^{2}

- e^{- \frac{3}{2}}

((- 6 0^{2}) + 4 0^{2} + (- 8 0^{2}))^{2}

e^{- 5} \frac{5 ^{0}}{0 !}

(x - 2)^{2} (x + 5)^{2}

(sin (x)) e^{- x}

What is (7.5x10^{24})(2.7x10^{22}) ?
The solution to (7.5x10^{24})(2.7x10^{22}) is 2.025E47x^2