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YES!!!

10^(2) X 10^(4) =

10^(2 + 4) =

10^(6)

Rules for indices,

#1 ; the coefficient MUST be the same in both numbers.

#2 ; for multiplication you ADD the indices

#3 ; for division you subtract the indices

#4 ; for 'nesting' you multiply the indices.,

Using your figures '-

#1 is satisfied as the coefficient is the same , at '10', in both terms.

#2 as per the question multiplication 10^(2) X 10^(4) = 10^(2+4) = 10^(6)

#3 If dividing 10^(2) / 10^(4) = 10^(2 - 4) = 10^(-2) - 1/10^(2) = 1/100

#4 if 'nesting' (10^(2))^(4) = 10^(2 x 4) = 10^(8) = 100,000,000

Similarly 2^(3) X 2^( 6) = 2^(3 + 6) = 2^(9)

However, 2^(3) X 3^(2) cannot be done as the coefficients are different.

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lenpollock

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1mo ago

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