What is 3e^{7(-2)(-5)}(-2)^2(-5)^2 ?

The solution to 3e^{7(-2)(-5)}(-2)^2(-5)^2 is 300e^{70}

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simplify 3e^{7(-2)(-5)}(-2)^2(-5)^2

simplify

3 e^{7 (- 2) (- 5)} (- 2)^{2} (- 5)^{2}

300 e^{70}

Decimal Notation

7.54632 E 32

Solution steps

3 e^{7 (- 2) (- 5)} (- 2)^{2} (- 5)^{2}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m}

(- 2)^{2} (- 5)^{2} = ((- 2) (- 5))^{2}

= 3 e^{7 (- 2) (- 5)} ((- 2) (- 5))^{2}

(- 2) (- 5) = 10

= 1 0^{2} \cdot 3 e^{7 (- 2) (- 5)}

Remove parentheses:

(- a) = - a, - (- a) = a

= 3 e^{7 \cdot 2 \cdot 5} \cdot 1 0^{2}

Multiply the numbers:

7 \cdot 2 \cdot 5 = 70

= 1 0^{2} \cdot 3 e^{70}

1 0^{2} = 100

= 3 \cdot 100 e^{70}

Multiply the numbers:

3 \cdot 100 = 300

= 300 e^{70}

\frac{t + 8}{t - 8}

k s^{2} (s + 2)^{2}

(7 t) (5 t^{8})

x^{2} y^{2} z

What is 3e^{7(-2)(-5)}(-2)^2(-5)^2 ?
The solution to 3e^{7(-2)(-5)}(-2)^2(-5)^2 is 300e^{70}