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Let’s check out your problem:
V
=
2
⋅
10
⋅
0.8
(
0.05
0.103
)
2
−
1
V = \frac{\sqrt{2 \cdot 10 \cdot 0.8}}{(\frac{0.05}{0.103})^{2}}-1
V
=
(
0.103
0.05
)
2
2
⋅
10
⋅
0.8
−
1
View step-by-step help
Home
Math Problems
Algebra 1
Multiplication with rational exponents
Full solution
Q.
V
=
2
⋅
10
⋅
0.8
(
0.05
0.103
)
2
−
1
V = \frac{\sqrt{2 \cdot 10 \cdot 0.8}}{(\frac{0.05}{0.103})^{2}}-1
V
=
(
0.103
0.05
)
2
2
⋅
10
⋅
0.8
−
1
Simplify Expression:
Step
1
1
1
: Simplify the expression inside the
square root
.
\newline
Calculation:
2
×
10
×
0.8
=
16
2 \times 10 \times 0.8 = 16
2
×
10
×
0.8
=
16
.
Calculate Square Root:
Step
2
2
2
: Calculate the square root of the result from Step
1
1
1
.
\newline
Calculation:
16
=
4
\sqrt{16} = 4
16
=
4
.
Simplify Denominator:
Step
3
3
3
: Simplify the denominator.
\newline
Calculation:
(
0.05
)
/
(
0.103
)
=
0.4854
(0.05) / (0.103) = 0.4854
(
0.05
)
/
(
0.103
)
=
0.4854
(approximately).
Square Result:
Step
4
4
4
: Square the result from Step
3
3
3
.
\newline
Calculation:
0.485
4
2
=
0.2356
0.4854^2 = 0.2356
0.485
4
2
=
0.2356
.
Divide Results:
Step
5
5
5
: Divide the result from Step
2
2
2
by the result from Step
4
4
4
.
\newline
Calculation:
4
/
0.2356
=
16.9811
4 / 0.2356 = 16.9811
4/0.2356
=
16.9811
(approximately).
Subtract
1
1
1
:
Step
6
6
6
: Subtract
1
1
1
from the result of Step
5
5
5
.
\newline
Calculation:
16.9811
−
1
=
15.9811
16.9811 - 1 = 15.9811
16.9811
−
1
=
15.9811
.
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