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blondinia [14]
3 years ago
11

Rules for exponents help?

Mathematics
1 answer:
JulijaS [17]3 years ago
5 0

Your given expression has no "b", so you can rule out selections b, c, e.

The expression is not equal to 1, so you can rule out selection a.

That leaves selection d, which is the correct choice:

... d. 1/x^a

_____

The rule for exponents is that an exponent in the numerator is the same as its opposite in the denominator, and vice versa.

The exponent of <em>-a</em> in the numerator is the same as an exponent of <em>a</em> in the denominator.

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Find the missing sides.
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Answer:

Part 3)

x=6\ units

y=3\ units

Part 4) x=18\sqrt{2}\ units

Step-by-step explanation:

Part 3)

<em>step 1</em>

Find the value of x

In the right triangle of the figure we know that

The cosine of angle of 30 degrees is equal to the adjacent side to angle of 30 degrees divide by the hypotenuse

so

cos(30\°)=\frac{3\sqrt{3}}{x}

and remember that

cos(30\°)=\frac{\sqrt{3}}{2}

substitute

\frac{\sqrt{3}}{2}=\frac{3\sqrt{3}}{x}

Simplify

x=(2*3)=6\ units

<em>step 2</em>

Find the value of y

In the right triangle of the figure we know that

The sine of angle of 30 degrees is equal to the opposite side to angle of 30 degrees divide by the hypotenuse

so

sin(30\°)=\frac{y}{x}

and remember that

sin(30\°)=\frac{1}{2}

substitute

\frac{1}{2}=\frac{y}{6}

y=6/2=3\ units

Part 4) Find the value of x

Applying the Pythagoras Theorem

x^{2} =18^{2} +18^{2} \\ \\x^{2} = 324+324\\ \\x^{2}=648\\ \\x=\sqrt{648}\ units

Simplify

x=18\sqrt{2}\ units

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