Which rules of exponents will be used to evaluate the expression.Check all that apply
2 answers:
Hello!
The answer are:
- Product of powers.
- Power of a power.
- Negative exponents.
<h2>Why?</h2>
Let's solve it!
It's a math rule that we must solve first what's into brakers or parenthesis, so,
First: Product of powers
According to the exponent's law(produc of power property)we need to sum the exponents and keep the base
Exponents: 5 and 3
Base: 7
Applying it we have:
Then, we can apply the power of a power property.
The power of a power property state that we must keep the same base and then multiply the exponents:
Exponents are:
3
-4
So,
Finally, we apply the negative exponents property, negative exponents are the reciprocal of the positive exponents,
So, we will have that:
Have a nice day!
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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Answer is C. Hope this helps
Answer:
9. x = 7
10. x = 12
Step-by-step explanation:
Assume the two lines are parallel.
9. The corresponding angles are congruent.
9x - 3 = 7x + 11
2x = 14
x = 7
10. The alternate interior angles are congruent.
5x - 20 = 2x + 16
3x = 36
x = 12
Answer:
-4/3
Step-by-step explanation:
(9-5)/(4-7)
4/-3
-4/3
Answer:
34; 34 inches is not long enough
Step-by-step explanation:
A doormat is the shape of a rectangle and its area uses A=l*w. If the area is 714 and its length is 21, then 714 = 21*w. Solve for w.
714=21w
714/21= 21w/21
34 = w
Answer:
22/7
Step-by-step explanation:
d=2
i.e r=d/2=1
then area of circle=πr^2
=22/7 *1
=22/7 i.e 3.1415