6.7×10^-11×6×10^24×7.4×10^22÷(3.84×10^8)^2
Answers
Answer:
Simplify
(
6.7
×
10
−
11
)
(
6
×
10
24
)
(
7.4
×
10
22
)
(
3.84
×
10
8
)
2
Solution
(
6.7
×
10
−
11
)
(
6
×
10
24
)
(
7.4
×
10
22
)
(
3.84
×
10
8
)
2
=
6.7
×
6
×
7.4
×
10
−
11
+
24
+
22
3.84
×
3.84
×
10
16
=
6.7
×
6
×
7.4
×
10
35
−
16
3.84
×
3.84
=
297.48
14.7456
×
10
19
=
20.17
×
10
19
=
2.02
×
10
20
Step-by-step explanation:
6.7 × 10^-11 × 6 × 10^24 × 7.4 × 10^22/(3.84 × 10^8)²
= \{ 6.7 \10 ^{ - 11} 6 \ {10}^{24} \7.4 \{10}^{22} }{(3.84) ^{2} }
= (3.84) 2 6.7×10 −11 ×6×10 24 ×7.4×10 22
= \{6.7 \ 6 \ 7.4 \10 ^{ - 11} \ {10}^{24} \ {10}^{22} }{3.84 \ {10}^{8} \3.84 \ {10}^{8}
= 3.84×10 8 ×3.84×10 86.7×6×7.4×10 −11 ×10 24 ×10 22
using formula➡: a^m × a^n = a^m+n
= \{6.7 \6 \7.4 \ {10}^{ - 11 + 24 + 22} }{3.84 \ 3.84 \{10}^{8} \{10}^{8}
= 3.84×3.84×10 8 ×10 8 6.7×6×7.4×10 −11+24+22
using formula➡ : a^m ÷ a^n = a^m-n,
= { 6.7 \ 6 \7.4 \ 10 ^{ - 11 + 24 + 22 - 8 - 8} }{3.84 /3.84}
= 3.84×3.846.7×6×7.4×10 −11+24+22−8−8
= \{6.7 \ 6 \ 7.4 \ 10 ^{19} }{3.84 \ 3.84}
= 3.84×3.846.7×6×7.4×10 19
= \{297.48 \ 10 ^{19} }{14.74}
= 14.74297.48×10 19
= 20.18 {10}^{19}=20.18×10 19
= 2.018 \{10}^{20}=2.018×10 20