Question

(7x^3y^2)(4x^3y^2)


^=exponents
solve in scientific Notation

Answer 1

(2.8×10¹)x⁶y⁴

Explanation:

Multiplication can be done in the usual way, then the number converted to scientific notation. Scientific notation does not apply to the variables.

`(7x^3y^2)(4x^3y^2)=(7\cdot 4)x^(3+3)y^(2+2)=28x^6y^4\\\\=2.8\cdot 10^1x^6y^4`

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If you write the numbers in scientific notation to start, then do the multiplication, the effect is virtually the same: an adjustment is needed in the product to get it back to scientific notation.

(7)(4) = (7×10⁰)(4×10⁰) = 7·4×10⁰⁺⁰ = 28×10⁰ = 2.8×10¹