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DENIUS [597]
3 years ago
13

Write an equivalent expression so that each factor has a single power. Let m, n, and p be numbers.

Mathematics
2 answers:
bagirrra123 [75]3 years ago
8 0

Answer:

a^m-n

Step-by-step explanation:

If we have the expression m^a / m^n, we can use exponent rules to simplify this.

Exponent rules say that x^a / x^b = x^a-b. In this case, x is a, a is m and b is n, so the same rule applied here.

So a^m / a^m  will be equal to a^m-n

Hope this helped!

Natasha2012 [34]3 years ago
7 0
A^m-n would be your anwser
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Which expressions are equivalent to 1.08^4t?
artcher [175]

Answer:

Therefore,

The Equivalent expression is option A,

(1.08^{4})^{t}

Step-by-step explanation:

Given:

Expressions  is

1.08^{4t}

To Find:

Equivalent expression ?

Solution:

We have Law of indices

(a^{x})^{y}=a^{x\times y}\\(a^{\frac {x}{y}})^{z}=a^{\frac{x\times z}{y}

For option A

(1.08^t)^4

(1.08^{4})^{t}=1.08^{4t}

Hence option A is the Equivalent expression.

For option B

1.08^8t/1.08^2t

(1.08^{\frac{8t}{1.08}})^{2t}=1.08^{\frac{16t^{2}}{1.08}}=1.08^{14.81t^{2}}

Which is not the Equivalent expression.

For option C

1.08^4*1.08^t

(1.08^{4\times 1.08})^{t}=1.08^{4.32t}

Which is not the Equivalent expression.

For option D

1.08^6t/1.08^2t

(1.08^{\frac{6t}{1.08}})^{2t}=1.08^{11.11t^{2}}

Which is not the Equivalent expression.

Therefore,

The Equivalent expression is option A,

(1.08^{4})^{t}

6 0
4 years ago
F(t) = 3t^3 - 4t + 6t^2 and g(n) = 5t^3 + 2t^2 - 3t. What is f(t) - g(t)
nikdorinn [45]

Answer:

- 2t³ + 4t² - t

Step-by-step explanation:

f(t) - g(t)

= 3t³ - 4t + 6t² - (5t³ + 2t² - 3t) ← distribute parenthesis by - 1

= 3t³ - 4t + 6t² - 5t³ - 2t² + 3t ← collect like terms

= - 2t³ + 4t² - t

3 0
3 years ago
In the polynomial 3x^4−3x^3+6x^2−3x+6, which term would represent the hundreds place, if this were an integer?
Over [174]

Answer:

−3x^3

Step-by-step explanation:

5 0
4 years ago
For work, you can wear a red or blue shirt, and black or khaki pants. You own 5 red shirts, 3 blue shirts, 3 pair of black pants
oee [108]

Answer:

8/16

Step-by-step explanation:

7 0
4 years ago
Worth 30 points please be quick. A function is graphed below.
dem82 [27]

Answer: A

Step-by-step explanation:

rate of change means the slope, and the slope in the picture is 1/2. (it goes up one and over 2, hence 1/2)

and the number before the x in the equation is the slope

Choice A is the only one that has a slope that is greater than 1/2

I hope this helps!

7 0
3 years ago
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