4 years ago

Use exponent properties to simplify the following expression with a positive exponent.

1 answer:

3 0

$a^{-n}=\dfrac{1}{a^n}\\\\2^{-8}=\dfrac{1}{2^8}\\\\a^n\cdot a^m=a^{n+m}\\\\2^5\times2^1=2^{5+1}=2^6\\\\2^5\times2^{-8}\times2^1=\boxed{\dfrac{2^6}{2^8}}$

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Select the correct answer from each drop-down menu.

horsena [70]

Given functions are:

$f(x) = 0.5x^2-2$

and $g(x) = 8x^3+2$

Using both functions we need to find value of (f*g)(x)

(f*g)(x) simply means find product of f(x) and g(x) so we will multiply values of each function as shown below:

$(f*g)(x) = (0.5x^2-2)(8x^3+2)$

$(f*g)(x) = 0.5x^2(8x^3+2)-2(8x^3+2)$

$(f*g)(x) = 4x^5+1x^2-16x^3-4$

$(f*g)(x) = 4x^5-16x^3+1x^2-4$

$(f*g)(x) = 4x^5-16x^3+x^2-4$

Hence final answer is $(f*g)(x) = 4x^5-16x^3+x^2-4$ .

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4 years ago

8.50284 × 10-2 standared form

Lerok [7]

0.0850284. Move the decimal back two spaces from original spot. You would move forward if it was a positive exponent.

6 0

3 years ago

Allenville Theater sold 2,200 tickets to Shakespearean plays last season. This season, the theater sold 32% fewer tickets to Sha

rodikova [14]

Answer:

I believe the answer is 2,904 if i did it right.

Step-by-step explanation:

All you have to do is take the original number 2,200 and multiply it by .32 because you change the percent into a decimal by moving the decimal place twice. then add it back to 2,200.

2,200x.32+2,200=2.904

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3 years ago

Select the expression that is equal and o (9x+3) - (5x-7)

MArishka [77]

Answer: D

Step-by-step explanation:

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3 years ago

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Igoryamba

$\frac{1}{4}(-(5-x))$