How do you multiply #(2.05times10^8)times(3.2times10^14)#?

Answer 1

To multiply (2.05 × 10^8) × (3.2 × 10^14), you multiply the numerical values (2.05 × 3.2) and then add the exponents (8 + 14). This results in 6.56, and since the exponents have the same base (10), you keep the base and add the exponents, yielding 10^(8 + 14) = 10^22. Therefore, the final answer is 6.56 × 10^22.

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Answer 2

#6.56 xx 10^22#

First, we need to redistribute the terms:

#(2.05 xx 3.2) xx (10^8 xx 10^14)#

We can can just multiply the term on the left:

#6.56 xx (10^8 xx 10^14)#

The rule for multiplying like terms with exponents is:

#color(red)(x^a xx x^b = x^(a+b))#

Applying this to the term in parenthesis on the right gives:

#6.56 xx 10^(8+14)#
#6.56 xx 10^22#
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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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