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Umnica [9.8K]
3 years ago
10

5

%7B%20-%202%7D%20" id="TexFormula1" title=" {5}^{ - 7} \times {5}^{12} \times {5}^{ - 2} " alt=" {5}^{ - 7} \times {5}^{12} \times {5}^{ - 2} " align="absmiddle" class="latex-formula">
Mathematics
2 answers:
marin [14]3 years ago
7 0
The answer to the question is 5^3
Arturiano [62]3 years ago
6 0

Because the base 5 is the same between all three terms, you can simply combine the exponents via addition or subtraction to find the simplified answer.

5^-7 * 5^12 * 5^-2 = 5^3 (This is your answer.)

Let me know if you have any other questions!


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Which are the solutions of x2 = –7x – 8?
Yanka [14]
You can start by rewriting the equation so that the right side equals zero. Add -7x and 8 to both sides.

x^2+7x+8=0

You can now use the quadratic equation (below), where a=1, b=7, and c=8, to find solutions. Plug in these values for a, b, and c into the equation and simplify.

\frac{-b \pm \sqrt{b^2-4(ac)}} {2a}
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The final answer is the combination of both solutions.
x=\frac{-7}{2} \pm \frac{\sqrt{17}} {2} \approx -3.5 \pm 2.06.

Or approximately...
x=(-3.5-2.06) \approx -5.56, (-3.5+2.06) \approx-1.44
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Step-by-step explanation:

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