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Zina [86]
3 years ago
10

Simplify. Rewrite the expression in the form a^n. A • A^7

Mathematics
1 answer:
Norma-Jean [14]3 years ago
8 0
<h2>Product of Powers Rule</h2><h3>Answer:</h3>

A^8

<h3 />

Step-by-step explanation:

Recall the Exponent Law:

a^m \cdot a^n = a^{m +n}

This means that if you multiply numbers with exponents and they have the same bases such as, a, the result is the number raised to the sum of exponents.

Solution:

Note: All numbers implicitly have 1 as their exponent. For example, 8 is equivalent to 8^1.

A \cdot A^7 \\ A^{1 +7} \\ A^8

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Solve for “a” <br><br> 11a + 5 = -6
Shalnov [3]

Answer:

a=-1

Step-by-step explanation:

-6-5=-11

-11/11=-1

4 0
3 years ago
Need help with Calculus 1 inverse trig functions
lidiya [134]

Answer:

\displaystyle y'=3\frac{1+\frac{x}{\sqrt{1+x^2}}}{2+2x^2+2x\sqrt{1+x^2}}

Step-by-step explanation:

<u>The Derivative of a Function</u>

The derivative of f, also known as the instantaneous rate of change, or the slope of the tangent line to the graph of f, can be computed by the definition formula

\displaystyle f'(x)=\lim\limits_{\Delta x \rightarrow 0}\frac{f(x+\Delta x)-f(x)}{\Delta x}

There are tables where the derivative of all known functions are provided for an easy calculation of specific functions.

The derivative of the inverse tangent is given as

\displaystyle (tan^{-1}u)'=\frac{u'}{1+u^2}

Where u is a function of x as provided:

y=3tan^{-1}(x+\sqrt{1+x^2})

If we set

u=(x+\sqrt{1+x^2})

Then

\displaystyle u'=1+\frac{2x}{2\sqrt{1+x^2}}

\displaystyle u'=1+\frac{x}{\sqrt{1+x^2}}

Taking the derivative of y

y'=3[tan^{-1}(x+\sqrt{1+x^2})]'

Using the change of variables

\displaystyle y'=3[tan^{-1}u]'=3\frac{u'}{1+u^2}

\displaystyle y'=3\frac{u'}{1+u^2}=3\frac{1+\frac{x}{\sqrt{1+x^2}}}{1+(x+\sqrt{1+x^2})^2}

Operating

\displaystyle y'=3\frac{1+\frac{x}{\sqrt{1+x^2}}}{1+x^2+2x\sqrt{1+x^2}+1+x^2}

\boxed{\displaystyle y'=3\frac{1+\frac{x}{\sqrt{1+x^2}}}{2+2x^2+2x\sqrt{1+x^2}}}

8 0
3 years ago
What's the value of given expression :<br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B9%7D%20" id="TexFormula1" title=" \
shusha [124]

Answer:

\sqrt{9}  =  \sqrt{3 \times 3}  = 3 \\ thank \: you

4 0
3 years ago
Read 2 more answers
Barbara gets 6 pizza to divide equally among 4 people. How much of a pizza can each person ?
kozerog [31]
Your key word is divide. You'll want to divide your 6 pizzas by your four friends, than most likely convert it to a fraction (unless your teacher accepts decimals.), message if you need more help.
3 0
3 years ago
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Find the perimeter of the triangle.
77julia77 [94]
Perimeter=|1+|2+|3
=12.5+10.6+9.5=32.6inches
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3 years ago
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