Evaluate (-13/10)^2+2.4

Math
(-1310)2+2.4
Simplify each term.
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Use the power rule (ab)n=anbn to distribute the exponent.
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Apply the product rule to -1310.
(-1)2(1310)2+2.4
Apply the product rule to 1310.
(-1)2132102+2.4
(-1)2132102+2.4
Raise -1 to the power of 2.
1132102+2.4
Multiply 132102 by 1.
132102+2.4
Raise 13 to the power of 2.
169102+2.4
Raise 10 to the power of 2.
169100+2.4
169100+2.4
To write 2.4 as a fraction with a common denominator, multiply by 100100.
169100+2.4⋅100100
Combine 2.4 and 100100.
169100+2.4⋅100100
Combine the numerators over the common denominator.
169+2.4⋅100100
Simplify the numerator.
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Multiply 2.4 by 100.
169+240100
Add 169 and 240.
409100
409100
Cancel the common factor of 409 and 100.
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Rewrite 409 as 1(409).
1(409)100
Cancel the common factors.
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Rewrite 100 as 1(100).
1⋅4091⋅100
Cancel the common factor.
1⋅4091⋅100
Rewrite the expression.
409100
409100
409100
The result can be shown in multiple forms.
Exact Form:
409100
Decimal Form:
4.09
Mixed Number Form:
49100
Evaluate (-13/10)^2+2.4

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