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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 ____.

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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.

Similar Questions

7×100+5×10+3×1+4× 1001​ Write the number in standard form.

3 × {4 – 8 [6 × (9 – 5) – 5 × (28 ÷ 7)] + 1}

Divide. Write your answer in scientific notation.7×1027×109

Which expression is equivalent to (8−2 • 35)−2?

(7)3 ÷  (49)2  × 343 = 7(? − 2)

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