Que- >express 4-³ as a power with 2
4 is a cube 64
4-³ = 64
64 = 2-⁶
ans- 1/2-⁶
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Class 11
>>Applied Mathematics
>>Logarithm and Antilogarithm
>>Indices
>>Simplify and express the result in power
Question
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Simplify and express the result in power notation with positive exponent.
(i) (−4)
5
÷(−4)
8
(ii) (
2
3
1
)
2
(iii) (−3)
4
×(
3
5
)
4
(iv) (3
−7
÷3
−10
)×3
−5
(v) 2
−3
×(−7)
(−3)
Medium
Solution
verified
Verified by Toppr
(i) (−4)
5
÷(−4)
8
=
(−4)
8
(−4)
5
=(−4)
5−8
=(−4)
−3
=
(−4)
3
1
(ii) (
2
3
1
)
2
=
2
3×2
1
=
2
6
1
(iii) (−3)
4
×(
3
5
)
4
=(−1)
4
×(3)
4
×(
3
5
)
4
=(−1)
4
×5
4
=5
4
(iv) (3
−7
÷3
−10
)×3
−5
=(
3
−10
3
−7
)×(3)
−5
=3
−7+10
×3
−5
=3
3−5
=3
−2
=
3
2
1
(v) 2
−3
×(−7)
(−3)
=
2
3
1
×
(−7)
3
1
=(
2×(−7)
1
)
3
=
(−14)
3
1
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