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Let’s check out your problem:
Which expression is equivalent to
7
3
×
1
0
3
7^3 \times 10^3
7
3
×
1
0
3
?
\newline
Choices:
\newline
(A)
7
0
9
70^9
7
0
9
\newline
(B)
1
7
0
3
\frac{1}{70^3}
7
0
3
1
\newline
(C)
7
0
3
70^3
7
0
3
\newline
(D)
7
0
6
70^6
7
0
6
View step-by-step help
Home
Math Problems
Algebra 1
Identify equivalent exponential expressions II
Full solution
Q.
Which expression is equivalent to
7
3
×
1
0
3
7^3 \times 10^3
7
3
×
1
0
3
?
\newline
Choices:
\newline
(A)
7
0
9
70^9
7
0
9
\newline
(B)
1
7
0
3
\frac{1}{70^3}
7
0
3
1
\newline
(C)
7
0
3
70^3
7
0
3
\newline
(D)
7
0
6
70^6
7
0
6
Calculate Exponents:
Step
1
1
1
: Calculate
7
3
7^3
7
3
and
1
0
3
10^3
1
0
3
separately.
\newline
7
3
=
343
7^3 = 343
7
3
=
343
\newline
1
0
3
=
1000
10^3 = 1000
1
0
3
=
1000
\newline
Multiply these results together.
\newline
343
×
1000
=
343000
343 \times 1000 = 343000
343
×
1000
=
343000
Express in Terms:
Step
2
2
2
: Express
343000
343000
343000
in terms of a base and exponent.
\newline
343000
=
7
0
3
343000 = 70^3
343000
=
7
0
3
\newline
Check if this matches any of the given choices.
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