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Vera_Pavlovna [14]
3 years ago
6

Write the expressions as an equivalent power with a negative exponent. 1/49 and 27/125

Mathematics
1 answer:
hoa [83]3 years ago
7 0
n^{-x}=\frac1{n^x}

\textcircled1\ \frac1{49}=\frac1{7^2}=\boxed{7^{-2}}

\textcircled2\ \frac{27}{125}=\frac{3^3}{5^3}=(\frac35)^3=\frac1{(\frac{5}{3})^3}=\boxed{\left(\frac53\right)^{-3}}


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Solve your equation using trail and improvement. A number plus ten times its square root is is equal to one thousand
Alex

Answer:

x \approx 729

Step-by-step explanation:

Given

Let the number be x

So:

x + 10\sqrt x = 1000

Required

Using trial and improvement, find x

This implies that we keep guessing the values of x until we get a value that match the equation.

Let

x = 625

So, we have:

x + 10\sqrt x = 1000

625 + 10 *\sqrt{625}

Take the square root of 625

625 + 10 *\sqrt{625} = 625 + 10 *25

625 + 10 *\sqrt{625} = 625 + 250

625 + 10 *\sqrt{625} = 875

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x + 10\sqrt x = 1000

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