25. The value of (-2) 5 * (-3) (-2) × (-7)
Answers
Answer:
HOPE YOU UNDERSTAND
Step-by-step explanation:
Given:- 7^0 * (25)^-3/2-5^-3
Solution:-
{7}^{0} \times {(25)}^{ \frac{ - 3}{2} } - {(5)}^{ - 3}7
0
×(25)
2
−3
−(5)
−3
= 1 \times {(5 \times 5)}^{ \frac{ - 3}{2} } - {(5)}^{ - 3}=1×(5×5)
2
−3
−(5)
−3
[We know a^0=1]
= {( {5}^{2} )}^{ \frac{ - 3}{2} } - {(5)}^{ - 3}=(5
2
)
2
−3
−(5)
−3
= {(5)}^{2 \times (\frac{ - 3}{2}) } - {(5)}^{ - 3}=(5)
2×(
2
−3
)
−(5)
−3
= {(5)}^{ - 3} - {5}^{ - 3}=(5)
−3
−5
−3
we know that a^(-1) = (1/a)
= \frac{1}{ {5}^{3} } - \frac{1}{ {5}^{ 3} }=
5
3
1
−
5
3
1
= \frac{1 - 1}{ {5}^{3} }=
5
3
1−1
= \frac{1 - 1}{5 \times 5 \times 5}=
5×5×5
1−1
= \frac{0}{125}=
125
0
= 0=0
Because by the rule when we divided zero by any number the answer will be zero.
Hence, the value of 7^0 * (25)^-3/2-5^-3 is 0.(ans)