Expressed in standard notation, 7×10−27×10−27×10 −2 is ____.
Question
Expressed in standard notation, 7×10−27×10−27×10 −2 is ____.
Solution 1
The expression 7×10^−27×10^−27×10^−2 can be simplified by adding the exponents of the 10s together, because they are the same base.
The rule is: a^m * a^n = a^(m+n)
So, the expression becomes: 7×10^(-27-27-2)
This simplifies to: 7×10^−56
So, expressed in standard notation, 7×10^−27×10^−27×10^−2 is 7×10^−56.
Solution 2
The expression 7×10^−27×10^−27×10^−2 can be simplified by adding the exponents of the 10s together, because they are the same base.
The rule is: a^m * a^n = a^(m+n)
So, the expression becomes: 7×10^(-27-27-2)
This simplifies to: 7×10^−56
So, expressed in standard notation, 7×10^−27×10^−27×10^−2 is 7×10^−56.
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