Answer:
1. x^(3/4)
2. x
3. x^(11/10)
4. x^1
Step-by-step explanation:
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1.
fourth root of x cubed
n√x^b = x^(b/n)
4√x^3 = x^(3/4)
2.
one over x to the negative one power
(1/x)^-1 = x/1 = x
^-1 exponent flips the fraction
3.
tenth root of the quantity x to the fifth times x to the fourth times x squared x to the one third power times x to the one third power times x to the one third power
¹⁰√(x⁵ · x⁴ · x²)
when multiplying, ADD the exponents
¹⁰√(x^11)
n√x^b = x^(b/n)
10√x^11 = x^(11/10)
4.
x to the one third power times x to the one third power times x to the one third power
x^(1/3) * x^(1/3) * x^(1/3)
when multiplying, ADD the exponents
(1/3)+(1/3)+(1/3) = 3/3 = 1
x^1
Answer:
A : x ^ 3/4
B : x
C : X^ 10/11
D : x^1
Step-by-step explanation:
A : x ^ 3/4
I plugged n√x^b = x^(b/n). Which ' n ' is 4 and ' b ' is 3.
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B : X
1/x ^-1 = x/1 = x ( the negative 1 flips the fraction ).
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C : X^ 10/11
Add the exponents, then plug in n√x^b = x^(b/n)
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D : x^1
Add the exponents, which gives you 3/3, and that converts into a whole number
D is equivalent because the result is the same
