Question

4. Simplify and write in exponential form:
(i)
2-4 x 15-3 x 625
-----------------------
52 x 10-4
(ii)
(9/4)-1*(2/3)2÷(3/2)-2​

Answer 1

Answer:

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Here is your answer.

\begin{gathered} \frac{ {2}^{ - 4} \times {15}^{ - 3} \times 625}{ {5}^{2} \times {10}^{ - 4} } \\ \\ = \frac{ {2}^{ - 4} \times (5 \times 3) {}^{ - 3} \times {5}^{4} }{ {5}^{2} \times (2 \times 5) {}^{ - 4} } \\ \\ = {2}^{ - 4 + 4} \times {5}^{ - 3 + 4 - 2 + 4} \times {3}^{ - 3} \\ \\ = {2}^{0} \times {5}^{3} \times {3}^{ - 3} \\ \\ = \frac{5 {}^{3} }{3 {}^{3} } \\ \\ = \frac{125}{27} \end{gathered}

5

2

×10

−4

2

−4

×15

−3

×625

=

5

2

×(2×5)

−4

2

−4

×(5×3)

−3

×5

4

=2

−4+4

×5

−3+4−2+4

×3

−3

=2

0

×5

3

×3

−3

=

3

3

5

3

=

27

125