(9⋅10
9
)⋅(−2⋅10
−3
)=left parenthesis, 9, dot, 10, start superscript, 9, end superscript, right parenthesis, dot, left parenthesis, minus, 2, dot, 10, start superscript, minus, 3, end superscript, right parenthesis, equals
Choose 1 answer:
Choose 1 answer:

(Choice A, Checked)
A
-18\cdot 10^6−18⋅10
6
minus, 18, dot, 10, start superscript, 6, end superscript

(Choice B)
B
-18 \cdot 10^{5}−18⋅10
5
minus, 18, dot, 10, start superscript, 5, end superscript

(Choice C)
C
18\cdot 10^{-6}18⋅10
−6
18, dot, 10, start superscript, minus, 6, end superscript

(Choice D)
D
18\cdot 10^{-5}18⋅10
−5

The rules of exponents apply to powers of 10 used in scientific notation. The associative and commutative properties of multiplication also apply.

Application

(a^b)(a^c) = a^(b+c)

The numerical product is ...

[tex](9\cdot10^9)\cdot(-2\cdot10^{-3})=(9)(-2)(10^{9-3})=\boxed{-18\cdot10^6}[/tex]

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Additional comment

Expressed in scientific notation, the result would be ...

[tex]-1.8\cdot10^7[/tex]

Your calculator can perform this multiplication for you.