Which expression is equivalent to start fraction, 6, to the power minus 7 , divided by, 6, end fraction, question mark
6
6
−7
?
Answer
Multiple Choice Answers
6, to the power 66
6
6, to the power minus 66
−6
6, to the power minus 86
−8
6, to the power 76
7
The expression that is equivalent to the given expression is 6, to the power minus 66.
Which expression is equivalent to left bracket, 6, to the power minus 1 , right bracket, to the power 4 , question mark(6
−1
)
4
?
Answer
Multiple Choice Answers
6, cubed6
3
start fraction, 1, divided by, 6, to the power 4 , end fraction
6
4
1
6, to the power 56
5
start fraction, 1, divided by, 6, to the power 8 , end fraction
6
8
1
The expression that is equivalent to the given expression is (1 divided by (6 to the power 4)).
To find the equivalent expression, we need to use the rule for dividing powers with the same base.
When you divide powers with the same base, you subtract the exponents.
So, the expression:
Start Fraction 6 to the power -7, divided by 6, End Fraction
can be rewritten as:
6^(-7) / 6
The base is the same (6), so we subtract the exponents:
6^(-7-1) = 6^(-8)
Therefore, the equivalent expression is:
6 to the power -8.
So, the correct answer is:
6 to the power -8.
To determine which expression is equivalent to the given expression, we need to simplify it.
The expression is (6^-7) / 6.
To simplify this, we can use the rule of exponents that states: when dividing two numbers with the same base, we subtract the exponents.
So, 6^-7 / 6 = 6^(-7-1) = 6^-8.
Therefore, the equivalent expression is 6 to the power minus 8, which is represented by option C: 6, to the power minus 86.