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by what number -3/5)-³ be divided so that the qutient may be (6/125)-²
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by what number -3/5)-³ be divided so that the qutient may be (6/125)-²...
Explanation:
Given:
- Divisor = (-3/5)-³
- Quotient = (6/125)-²
Step 1: Find the reciprocal of the divisor
Reciprocal of (-3/5)-³ = 1/(-3/5)-³
= 1/(-3)^-3/(5)^-3
= 1/(-125/125)
= -125
Step 2: Divide the reciprocal of the divisor by the quotient
Quotient = (6/125)-²
Reciprocal of the quotient = 1/(6/125)-²
= 1/(6)^-2/(125)^-2
= 1/(36/15625)
= 15625/36
= 434.72
Step 3: Divide the reciprocal of the divisor by the result obtained in step 2
Divide -125 by 434.72
Result = -125 / 434.72
= -0.288
Therefore, the number by which (-3/5)-³ should be divided to get the quotient (6/125)-² is approximately -0.288.
Given:
- Divisor = (-3/5)-³
- Quotient = (6/125)-²
Step 1: Find the reciprocal of the divisor
Reciprocal of (-3/5)-³ = 1/(-3/5)-³
= 1/(-3)^-3/(5)^-3
= 1/(-125/125)
= -125
Step 2: Divide the reciprocal of the divisor by the quotient
Quotient = (6/125)-²
Reciprocal of the quotient = 1/(6/125)-²
= 1/(6)^-2/(125)^-2
= 1/(36/15625)
= 15625/36
= 434.72
Step 3: Divide the reciprocal of the divisor by the result obtained in step 2
Divide -125 by 434.72
Result = -125 / 434.72
= -0.288
Therefore, the number by which (-3/5)-³ should be divided to get the quotient (6/125)-² is approximately -0.288.
Community Answer
by what number -3/5)-³ be divided so that the qutient may be (6/125)-²...
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by what number -3/5)-³ be divided so that the qutient may be (6/125)-² Related: Points to Remember- Exponents and Powers?
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