Answer:
D)
Step-by-step explanation:
Answer:
x = -1/2
Step-by-step explanation:
This question can be solved by applying the laws of indices
In a^n, a - base
n - index
Given
9^x = 1/3
According to the laws of indices, a/b = b^(-a)
Hence we can write, 1/3 = 3^(-1)
9^x = 3^(2x)
Again according to the laws of indices,
a^b = a^n can be written as;
b = n
That is, if in an equation the bases are the same, the indices are also equal.
So we can write,
3^(2x) = 3^(-1)
2x = -1
Divide both sides of the equation by 2, the coefficient of x
2x/2 = -1/2
x = -1/2
This is the correct answer
The expression which is equivalent to 6 Superscript 4 times 6 cubed and posses same value as this expression is,
![6\times6\times6\times6)\times6](https://tex.z-dn.net/?f=6%5Ctimes6%5Ctimes6%5Ctimes6%29%5Ctimes6)
<h3>What is the equivalent expression?</h3>
Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
The given statement for the expression is 6 Superscript 4 times 6 cubed. This expression cab be written as,
![6^4\times6](https://tex.z-dn.net/?f=6%5E4%5Ctimes6)
Suppose the equivalent expression of this equation is n. Thus,
![n=6^4\times6](https://tex.z-dn.net/?f=n%3D6%5E4%5Ctimes6)
The 4 power of number 6 means that the number 6 should be multiplied 4 times.
![n=(6\times6\times6\times6)\times6](https://tex.z-dn.net/?f=n%3D%286%5Ctimes6%5Ctimes6%5Ctimes6%29%5Ctimes6)
Hence, the expression which is equivalent to 6 Superscript 4 times 6 cubed and posses same value as this expression is,
![6\times6\times6\times6)\times6](https://tex.z-dn.net/?f=6%5Ctimes6%5Ctimes6%5Ctimes6%29%5Ctimes6)
Learn more about the equivalent expression here;
brainly.com/question/2972832
She bought 8 bags of candy with 10 pieces in each one.