Answer: x^4
Step-by-step explanation:
1. Rewrite the expression in fraction form:
(3√x²)^6 = x^(2/3)^6
2 is the exponent, so when written in fraction form, it is the numerator. 3 is the index or root, so in fraction form it is the denominator.
2. Solve:
x^(2/3)^6 = x^(12/3) = x^4
Because the exponent 2/3 is raised to the power of 6, you can use the power rule, which basically just means that whenever an exponent is raised to an exponent, multiply them. So, 2/3 * 6 equals 12/3, and 12/3 equals 4, making your answer x^4.
Answer:
Step-by-step explanation:
≥ - 2
x - 4 ≥ - 6
x ≥ - 2
<em>x ∈ [ - 2 , ∞ )</em>
2 - 6x < 32
- 6x < 30
x > - 5
<em>x ∈ ( - 5 , ∞ )</em>
Answer:
23rd term of the arithmetic sequence is 118.
Step-by-step explanation:
In this question we have been given first term a1 = 8 and 9th term a9 = 48
we have to find the 23rd term of this arithmetic sequence.
Since in an arithmetic sequence

here a = first term
n = number of term
d = common difference
since 9th term a9 = 48
48 = 8 + (9-1)d
8d = 48 - 8 = 40
d = 40/8 = 5
Now 
= 8 + (23 -1)5 = 8 + 22×5 = 8 + 110 = 118
Therefore 23rd term of the sequence is 118.
4x + 2x + 2
= 6x + 2
So the answer is B
(-3/8)(+8/15)
Answer will be a negative number. Whenever multiplying a - negative number * a + positive = - negative number.
(-3/8)(+8/15)
Cross out -3 and 15 . Divide by 3. -3/3,=-1 15/3
= -1/5
Cross out 8 and 8. Divide by 8.
8/8= 1 , 8/8= 1
-1/5*1/1= -1/5
Answer : -1/5