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3 years ago

If x=5, evaluate x^5 * x^-3

Mathematics

1 answer:

Artyom0805 [142]3 years ago

3 0

Answer: 25

Step-by-step explanation:

Plug in x to the expression.

$5^5 * 5^{-3}\\$

When there is the same base of exponents is being multiplied the exponents add together and the base stays the same.

So this simplifies to, $5^2$ .

This then solves to 25.

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Renee is simplifying the expression (7) (StartFraction 13 over 29 EndFraction) (StartFraction 1 over 7 EndFraction). She recogni

dsp73

Answer:

The correct option is commutative property.

Step-by-step explanation:

The expression that Renee is simplifying is:

$(7)\cdot(\frac{13}{29})\cdot(\frac{1}{7})$

It is provided that, Renee recognizes that 7 and $\frac{1}{7}$ are reciprocals, so she would like to find their product before she multiplies by $\frac{13}{29}$ .

The associative property of multiplication states that:

$a\times b\times c=(a\times b)\times c=a\times (b\times c)$

The commutative property of multiplication states that:

$a\times b\times c=a\times c\times b=c\times a\times b$

The distributive property of multiplication states that:

$a\cdot (b+c)=a\cdot b+a\cdot c$

The identity property of multiplication states that:

$a\times 1=a\\b\times 1=b$

So, Renee should use the commutative property of multiplication to find the product of 7 and $\frac{1}{7}$ ,

$(7)\cdot(\frac{13}{29})\cdot(\frac{1}{7})=(7\times\frac{1}{7})\times\frac{13}{29}=\frac{13}{29}$

Thus, the correct option is commutative property.

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3 years ago

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Simplify completely 25 w to the sixth power over 10 w to the third power divided by 30 w squared over 5 w.

malfutka [58]

$\cfrac{25w^6}{10w^3}: \cfrac{30w^2}{5w}= \cfrac{5w^3}{2}* \cfrac{5w}{30w^2}= \cfrac{w}{2}* \cfrac{5w}{6}= \cfrac{5w^2}{12}$

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3 years ago

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Brad had a yard that he wants to fence. The dimensions of the yard are 40 feet by 55 feet. How much fencing would he need to enc

natta225 [31]

2(40+55)=2(95)=190
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3 years ago

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2 years ago

Function 1: y = 4x + 5

rosijanka [135]

Answer:

Option B is correct

Function 1, because the slope is 4 and the slope of function 2 is 2.

Step-by-step explanation:

Slope-intercept form:

The equation of line is given by:

$y=mx+b$

where, m is the slope and b is the y-intercept

As per the statement:

Function 1: y = 4x + 5

On comparing with [1] we have;

Slope of function 1 = 4

Function 2: The line passing through the points (1, 6) and (3, 10).

Using slope formula:

$\text{Slope}= \frac{y_2-y_1}{x_2-x_1}$

Substitute the given points we have;

$\text{Slope}= \frac{10-6}{3-1}$

⇒ $\text{Slope}= \frac{4}{2}$

Simplify:

⇒ $\text{Slope}=2$

⇒ $\text{Slope}= \frac{4}{2}$

⇒ Slope of the function 2 is, 2

Since, function 1 is greater rate of change.( i.e 4 > 2)

Therefore,

Function 1 has the greater rate of change, because the slope is 4 and the slope of function 2 is 2.

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2 years ago

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