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Let’s check out your problem:
Select all the expressions that are equivalent to
1
0
3
×
6
3
10^3 \times 6^3
1
0
3
×
6
3
.
\newline
Multi-select Choices:
\newline
(A)
6
0
3
60^3
6
0
3
\newline
(B)
6
0
6
6
0
3
\frac{60^6}{60^3}
6
0
3
6
0
6
\newline
(C)
6
0
9
60^9
6
0
9
\newline
(D)
6
0
6
60^6
6
0
6
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Math Problems
Calculus
Find derivatives of using multiple formulae
Full solution
Q.
Select all the expressions that are equivalent to
1
0
3
×
6
3
10^3 \times 6^3
1
0
3
×
6
3
.
\newline
Multi-select Choices:
\newline
(A)
6
0
3
60^3
6
0
3
\newline
(B)
6
0
6
6
0
3
\frac{60^6}{60^3}
6
0
3
6
0
6
\newline
(C)
6
0
9
60^9
6
0
9
\newline
(D)
6
0
6
60^6
6
0
6
Calculate:
Calculate
1
0
3
×
6
3
10^3 \times 6^3
1
0
3
×
6
3
.
\newline
- Calculation:
1
0
3
=
1000
10^3 = 1000
1
0
3
=
1000
and
6
3
=
216
6^3 = 216
6
3
=
216
, so
1
0
3
×
6
3
=
1000
×
216
=
216000
10^3 \times 6^3 = 1000 \times 216 = 216000
1
0
3
×
6
3
=
1000
×
216
=
216000
.
\newline
-
Check Option (A):
Check if option (A)
6
0
3
60^3
6
0
3
is equivalent.
\newline
- Calculation:
6
0
3
=
216000
60^3 = 216000
6
0
3
=
216000
.
\newline
-
Check Option (B):
Check if option (B)
6
0
6
/
6
0
3
60^6/60^3
6
0
6
/6
0
3
is equivalent.
\newline
- Calculation:
6
0
6
=
46656000000
60^6 = 46656000000
6
0
6
=
46656000000
and
6
0
3
=
216000
60^3 = 216000
6
0
3
=
216000
, so
6
0
6
/
6
0
3
=
216000
60^6/60^3 = 216000
6
0
6
/6
0
3
=
216000
.
\newline
-
Check Option (C):
Check if option (C)
6
0
9
60^9
6
0
9
is equivalent.
\newline
- Calculation:
6
0
9
=
101559956668416
60^9 = 101559956668416
6
0
9
=
101559956668416
, which is not equal to
216000
216000
216000
.
\newline
-
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