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andre [41]
3 years ago
7

Which rules of exponents will be used to evaluate the expression.Check all that apply

Mathematics
2 answers:
Oliga [24]3 years ago
6 0

Answer:

-Product of powers.

-Power of powers.

-Negative exponent.

-Power of a product.

Step-by-step explanation:

 1. According to the product of powers, when you have two powers with equal base you must sum the exponents. Then you have:

[(7^{5})(7^{3})]^{-4}=[7^{8}]^{-4}

2. The negative exponents indicates that 7⁸ is in the denominator. Based on this, you have:

\frac{1}{(7^{8})^{4}}

3. Based on the power of powers, you can multiply the exponents. Then:

\frac{1}{7^{32}}

You can also apply the power of a product:

[(7^{(5)(-4)})(7^{(3)(-4)})]=[7^{-20}*7^{-12}]

And then apply the step 2.

MArishka [77]3 years ago
3 0

Answer:

Three rules are used

1) Product of powers

2) Power of a power

3) Negative exponents

Step-by-step explanation:

The given expression is [(7)⁵(7)³]⁻⁴

<u>To find the value of  [(7)⁵(7)³]⁻⁴ </u>

[(7)⁵(7)³]⁻⁴ =  [(7)⁵⁺³]⁻⁴  = [(7)⁸]⁻⁴(using product of powers rule)

[(7)⁵⁺³]⁻⁴ = [(7)⁸ˣ⁻⁴] = 7⁻³² [using powers of power rule)

7⁻³²  = 1/7³²   (using negative exponent rule)

Using three rules we can solve  [(7)⁵(7)³]⁻⁴

Therefore the correct answers are  

1) Product of powers

2) Power of a power

3) Negative exponents

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ser-zykov [4K]

Answer:

t=4h

Steps below

Step-by-step explanation:

We know:

speed of boat with respect to earth:  13  km

speed of stream with respect to earth:  4 km

13 km/h + 4 km/h = 17 km/h The time to travel 68 km with this speed is thus t = 68 km 17 km h = 4 h

<em><u>Hope this helps.</u></em>

4 0
3 years ago
Check my last question is u want 10 pts
larisa [96]
Ok..................
4 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! I CANNOT RETAKE THIS!!
alex41 [277]

the correct answer should be (b) 6 is extraneous.

If you look at the second row of the solution you see (x-6) as a factor in one of the denominators. That's a problem: if 6 were a solution this denominator would become 0. But denominators being 0 is bad (undefined), so while 6 comes out of the algebraic manipulation as a solution, it is invalid, or extraneous.

-3 is a fine solution.

6 0
3 years ago
Read 2 more answers
Can someone please help with this question
maksim [4K]

Answer:

X = 7.2

Step-by-step explanation:

Hello

For the triangle of right side, using Pytagoras:

(2.5)^2 + b^2 = 6^2

6.25 + b^2 = 36

b^2 = 36 - 6.25

b^2 = 29.75

b = 5.45

Now we can to find X using again Pytagoras:

3^2 + (5.45)^2 = x^2

9 + 29.75 = x^2

38.75 = x^2

X = 7.2

Best regards

5 0
3 years ago
What is the answer for this promblem please help
PSYCHO15rus [73]
Half

I been through this
3 0
3 years ago
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