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Write 5 × 5 × 5 × 5 using exponent, and then find its value.
Write five times five times five
times five using exponents, then find its value.
An exponent is a small number
placed above and to the right of a base number. The exponent refers to how many
times the base number is multiplied by itself.
Our first step is to write five
times five times five times five using exponents. Remember that our exponent is going
to be the number of times that our base is multiplied by itself. Here, we’re multiplying five by
itself four times. Four is our exponent. Four is our exponent and five is
our base. If we multiply five by itself four
times, another way to represent that is by saying five to the fourth power. We write it, five with an exponent
of four. Five with an exponent of four.
This is not the only thing the
question is asking us to do. The question also asks us to find
its value. We need to calculate what five to
the fourth power is. First, I noticed that five times
five is twenty-five, and I’ve two groups of that. Now I need to calculate twenty-five
times twenty-five. Here is one way we can try to solve
this problem mentally. We can break twenty-five times
twenty-five into two groups. First, we’ll calculate twenty-five
times twenty, and then we’ll calculate twenty-five times five.
I know that twenty-five times four
equals one hundred. I also know that twenty equals four
times five. Twenty-five times twenty equals
five hundred. Twenty-five times five is the next
piece we need to solve. I easily recognized that
twenty-five times four is one hundred. This means that twenty-five times
five is going to be one hundred and twenty-five. The only thing left to do is to add
five hundred and one hundred and twenty-five.
Twenty-five times twenty-five
equals six hundred and twenty-five. Five to the fourth power equals six
hundred and twenty-five.
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