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3 years ago

Which statement explains the property of integer exponents shown in this equation? aman = am + n

Mathematics

2 answers:

harkovskaia [24]3 years ago

4 0

Answer:

Step-by-step explanation:

The rule of exponents

$a^{m}$ × $a^{n}$ = $a^{(m+n)}$

Shows that when 2 powers with the same base are being multiplied then the exponents are added.

lisov135 [29]3 years ago

4 0

Answer:

Step-by-step explanation:

The answer is : To multiply two powers with the same base, add the exponents.

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30/78 simplified is 15/39

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4 years ago

the following are scores of students:9,7,8,9,7,5,8,10,7,8 and 10. the value of the population variance is 4. true or false?

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3 years ago

4(2x-3) is greater than or equal to 4(x-4)

mylen [45]

Answer: x ≥ -1

Step-by-step explanation:

4(2x - 3) ≥ 4(x - 4)

8x - 12 ≥ 4x - 16 distributed 4 into 2x - 3

4x - 12 ≥ -16 subtracted 4x from both sides

4x ≥ -4 added 12 to both sides

x ≥ -1 divided both sides by 4

Graph: -1 -------------→

Interval Notation: [ -1, ∞ )

8 0

4 years ago

Use a table of values with at least 5 values to graph the following function:

34kurt

The given expression :

$y=(\frac{1}{2})^x$

For coordinates:

put x = 0 then :

$\begin{gathered} y=(\frac{1}{2})^0 \\ y=1 \end{gathered}$

Coordinate : (x, y) = (0, 1)

Put x= 1 and simplify :

$\begin{gathered} y=(\frac{1}{2})^1 \\ y=\frac{1}{2} \\ y=0.5 \end{gathered}$

Coordinate : (x, y) = ( 1, 0.5)

Put x = (-2) and simplify :

$\begin{gathered} y=(\frac{1}{2})^{-2} \\ y=\frac{1^{-2}}{2^{-2}} \\ y=\frac{2^2}{1^2} \\ y=2^2 \\ y=4 \end{gathered}$

Coordinate : (x, y) = ( -2, 4)

Put x = (-3) and simplify :

$\begin{gathered} y=(\frac{1}{2})^{-3} \\ y=\frac{1^{-3}}{2^{-3}} \\ y=\frac{2^3}{1^3} \\ y=2^3 \\ y=8 \end{gathered}$

Coordinate : (x, y) = (-3, 8)

Substitute x = (-1) and simplify :

$\begin{gathered} y=(\frac{1}{2})^x \\ y=(\frac{1}{2})^{-1} \\ y=\frac{1^{-1}}{2^{-1}} \\ y=\frac{2}{1} \\ y=2 \end{gathered}$

Coordinate : (x, y) = ( -1, 2)

So, the coordinates are :

The graph is :

4 0

2 years ago