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3241004551 [841]
4 years ago
13

Use the product of powers property to simplify the numeric expression.

Mathematics
1 answer:
motikmotik4 years ago
8 0

Answer:

The value of 4^{\dfrac{1}{3}} {\cdot} 4^{\dfrac{1}{5}  is  4^{\dfrac{8}{15}} .

Step-by-step explanation:

We need to simplify the numeric expression using property. The expression is as follows :

4^{\dfrac{1}{3}} {\cdot} 4^{\dfrac{1}{5}

The property to be used is : x^a{\cdot} x^b=x^{a+b}

This property is valid if the base is same. Here, base is x.

In this given problem, x = 4, a = 1/3 and b = 1/5

So,

4^{\dfrac{1}{3}} {\cdot} 4^{\dfrac{1}{5}}=4^{\dfrac{1}{3}+\dfrac{1}{5}}\\\\=4^{\dfrac{5+3}{15}}\\\\=4^{\dfrac{8}{15}}

So, the value of 4^{\dfrac{1}{3}} {\cdot} 4^{\dfrac{1}{5}  is  4^{\dfrac{8}{15}} .

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Inessa05 [86]

Answer:

The solution of given equation is x = -4

Step-by-step explanation:

We are given the following in the question:

Let x be the variable such that

x \in (-12,12)

Relation:

The quotient of a number and 4 is negative 1

We can write the equation as:

\dfrac{x}{4} = -1

Solution:

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Thus, the solution of given equation is x = -4

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4 years ago
⛔️⚠️‼️GEOMETRY TRIG please help‼️⚠️⛔️
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Answer:

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Step-by-step explanation:

Firstly we've to find the hypotenuse of the first triangle:

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Using cos for it.

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hyp = 10 / 0.707

hyp = 14.14

The hypotenuse of the first triangle is actually the base (or opposite) of the triangle.

Also, hypotenuse = x and angle is 60 degrees.

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x = 14.14 / 0.866

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\rule[225]{225}{2}

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3 0
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Estimate the difference for 49 and 61
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Answer:

the estimated answer is 10

Step-by-step explanation:

you have to round both numbers to the nearest ten and then subtract

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What is the y intercept of (-6, -5) when the slope is -2/3?
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Input the equation into Desmos. It’s really useful for graph stuff and does the work for you
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3 years ago
Read 2 more answers
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