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grandymaker [24]
3 years ago
15

Simplify the expression using properties of exponents. -16a-3b-5 2a-4b2

Mathematics
1 answer:
lions [1.4K]3 years ago
8 0

a^n\cdot a^m=a^{n+m}\\\\-16a^{-3}b^{-5}\cdot2a^{-4}b^2=(-16\cdot2)(a^{-3}a^{-4})(b^{-5}b^2})\\\\=-32a^{-3+(-4)}b^{-5+2}=\boxed{-32a^{-7}b^{-3}}

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Indicate below whether the equation in the box is true or false 1/6 = to 6/12​
Vitek1552 [10]

Answer: 1/6 is not equal to 6/12 because 6/12 is 1/2 and 1/6 is less

Step-by-step explanation:

6 0
3 years ago
Plz help me 2x+y=4 4x+2y=8
aleksklad [387]

Answer: Y= 2 X=1

Step-by-step explanation:

2x+y=4                  4x+2y=8

2x     =/2                     2y= /2

y=2                          4x=4

                               /4= /4

                               X= 1

6 0
3 years ago
Read 2 more answers
in 2005, the total waste generated in a certain country was 3.474x10^9 pounds. also in 2005, the countrys population was 1.23x10
Serggg [28]

Answer:

2824

Step-by-step explanation:

Take the number of pounds and divide by the number of people:

3.474×10⁹ / 1.23×10⁶

Divide the coefficients and subtract the exponents:

(3.474 / 1.23) × 10⁹⁻⁶

2.824×10³

So the country produced about 2,824 pounds of garbage per person in 2005.

7 0
3 years ago
If tan ⁡x=12/5, and 0°
Charra [1.4K]

The value of sin(2x) is \frac{120}{169}

Explanation:

Given that tan x =\frac{12}{5}

The formula for sin(2x) is \sin (2 x)=2 \sin x \cos x

Since, \tan x=\frac{o p p}{a d j}

Also, it is given that tan x =\frac{12}{5}

Thus, opp=12 and adj=5

To find the hypotenuse, let us use the pythagoras theorem,

\begin{aligned}h y p &=\sqrt{12^{2}+5^{2}} \\&=\sqrt{144+25} \\&=\sqrt{169} \\&=13\end{aligned}

Now, we can find the value of sin x and cos x.

\sin x=\frac{\text { opp }}{h y p}=\frac{12}{13}

\cos x=\frac{a d j}{h y p}=\frac{5}{13}

Now, substituting these values in the formula for sin 2x, we get,

\begin{aligned}\sin (2 x) &=2 \sin x \cos x \\&=2\left(\frac{12}{13}\right)\left(\frac{5}{13}\right) \\&=\frac{120}{169}\end{aligned}

Thus, the value of sin(2x) is \frac{120}{169}

8 0
2 years ago
Evaluate:
wlad13 [49]
Answer is f(-2) = -10
7 0
2 years ago
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