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3 years ago

According to the laws of exponents, you must______ the exponents when you are dividing by the same base. (Example: x^4/x^2)

Mathematics

2 answers:

prisoha [69]3 years ago

6 0

Answer:

B. Subtract

Step-by-step explanation:

Just like when multiplying exponents, you're really just adding them together. This is the same case, when you're "dividing" the exponents, you're really just subtracting them.

prohojiy [21]3 years ago

6 0

Answer:

Step-by-step explanation:

Since the law of exponents says u add exponents when u multiply, then if u were dividing, u would subtract.

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4 years ago

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3 years ago

Determine weather the statement is true or false. Justify your answer

topjm [15]

$\begin{gathered} \cos (-\frac{7\pi}{2})=\cos (\pi+\frac{\pi}{2}) \\ \cos (-\frac{7\pi}{2})=\cos (\frac{3\pi}{2}) \end{gathered}$

As we know:

$\begin{gathered} \cos (x)=0 \\ for \\ x=\pi n-\frac{\pi}{2} \\ n\in Z \end{gathered}$

For:

$\begin{gathered} n=2 \\ x=2\pi-\frac{\pi}{2}=\frac{3\pi}{2} \\ for \\ n=-3 \\ x=-3\pi-\frac{\pi}{2}=-\frac{7\pi}{2} \end{gathered}$

Therefore:

$\begin{gathered} \cos (-\frac{7\pi}{2})=0 \\ and \\ \cos (\frac{3\pi}{2})=0 \\ so\colon \\ 0=0 \\ This_{\text{ }}is_{\text{ }}true \end{gathered}$

Therefore, the statement is true

7 0

1 year ago

The value of x is ...?

Semenov [28]

Answer:

X = 64

Step-by-step explanation:

Comparing the two triangle put the right angle into consideration.

(17 + X)/(X + 8) = (X + 8)/X

Cross multiplying

X(17 + X) = (X + 8)(X + 8)

17X + X^2 = X^2 + 8X + 8X + 64

Collecting like terms

X^2 - X^2 + 17X - 8X - 8X = 64

X = 64

5 0

4 years ago