The expression can be simplified using the properties of exponents. When dividing two numbers with the same base, you subtract the exponents.
So, 5 to the power -1 divided by 5 to the power -2 is equivalent to 5 to the power (-1 - (-2)).
5 to the power (-1 - (-2)) is equal to 5 to the power (-1 + 2), which simplifies to 5 to the power 1.
Finally, multiplying 5 to the power 1 by 5 to the power -3 is equivalent to adding the exponents, which gives us 5 to the power (1 - 3), or 5 to the power -2.
Therefore, the expression is equivalent to 5 to the power -2, which is represented as 5^-2.
The correct answer is 5, to the power minus 2.
Which expression is equivalent to start fraction, 5, to the power minus 1 , divided by, 5, to the power minus 2 , end fraction, dot, 5, to the power minus 3 , question mark
5
−2
5
−1
⋅5
−3
?
Answer
Multiple Choice Answers
5, to the power 45
4
5, to the power minus 25
−2
5, to the power minus 45
−4
11
5 answers
Which expression is equivalent to left bracket, 2, to the power 5 , right bracket, to the power 0 , dot, 2, to the power 0 , question mark(2
5
)
0
⋅2
0
?
Answer
Multiple Choice Answers
00
11
3232
22
5
)
0
⋅2
0
?
Answer
Multiple Choice Answers
00
11
3232
22
The expression can be simplified using the property of any number raised to the power of 0 equals 1.
So, 2 to the power 5 raised to the power 0 is equal to 1 multiplied by 2 to the power 0.
Any number raised to the power of 0 is 1, so 2 to the power 0 is equal to 1.
Therefore, the expression simplifies to 1 multiplied by 1, which is equal to 1.
The correct answer is 11.
So, 2 to the power 5 raised to the power 0 is equal to 1 multiplied by 2 to the power 0.
Any number raised to the power of 0 is 1, so 2 to the power 0 is equal to 1.
Therefore, the expression simplifies to 1 multiplied by 1, which is equal to 1.
The correct answer is 11.
Which expression is equivalent to left bracket, 2, to the power minus 3 , right bracket, to the power 0 , times, 2, to the power minus 2 , question mark(2
−3
)
0
×2
−2
?
Answer
Multiple Choice Answers
88
00
one half
2
1
one quarter
4
1
−3
)
0
×2
−2
?
Answer
Multiple Choice Answers
88
00
one half
2
1
one quarter
4
1
The expression can be simplified using the property of any number raised to the power of 0 equals 1.
So, 2 to the power -3 raised to the power 0 is equal to 1 multiplied by 2 to the power -2.
To simplify 2 to the power -2, we can use the property of negative exponents, which states that a number raised to a negative exponent is equal to 1 divided by the number raised to the positive exponent.
So, 2 to the power -2 is equal to 1 divided by 2 to the power 2, which is 1 divided by 4.
Therefore, the expression simplifies to 1 multiplied by 1/4, which is equal to 1/4 or one quarter.
The correct answer is one quarter.
So, 2 to the power -3 raised to the power 0 is equal to 1 multiplied by 2 to the power -2.
To simplify 2 to the power -2, we can use the property of negative exponents, which states that a number raised to a negative exponent is equal to 1 divided by the number raised to the positive exponent.
So, 2 to the power -2 is equal to 1 divided by 2 to the power 2, which is 1 divided by 4.
Therefore, the expression simplifies to 1 multiplied by 1/4, which is equal to 1/4 or one quarter.
The correct answer is one quarter.