Question

Simplify the exponential expression 3^{-5}×10^{-5}×5/5^{-5}×6^{-5} `​

Answer 1

Answer:

Question

Simplify the exponential expression 3^{-5}×10^{-5}×5/5^{-5}×6^{-5} `

Solution

$\green{ \frac{{3}^{ - 5} \times {10}^{ - 5} \times {5}}{ {5}^{ - 5} \times {6}^{ - 5} } }$

$= \green{ \frac{ {3}^{ - 5} \times (2 \times 5) ^{ - 5} \times 5 }{ {5}^{ - 5} \times (2 \times 3)^{ - 5} } }$

$= \green{ \frac{ {3}^{ - 5} \times {2}^{ - 5} \times {5}^{ - 5} \times 5 }{ {5}^{ - 5} \times {2}^{ - 5} \times {3}^{ - 5} } } \\ \\ = \green{ {3}^{ - 5 + 5} \times {2}^{ - 5 + 5} \times {5}^{ - 5 + 5} } \\ \\ = \green{3 \times 2 \times 5} \\ \\ = 30$

Answer 2

Step-by-step explanation:

5

−7

×6

−5

3

−5

×10

−5

×125

=

5

−7

×(2×3)

−5

3

−5

×(2×5)

−5

×5

3

=

5

−7

×2

−5

×3

−5

3

−5

×2

−5

×5

−5

×5

3

=3

−5+5

×2

−5+5

×5

−5+3+7

=5

5

=3125