Question 480377
You can do this one by just thinking about it.
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First use the power rule. Namely this rule says:
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{{{(a*b)^n = a^n*b^n}}}
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You can apply this in reverse order. What you were given is:
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{{{5^6 * 2^6}}}
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Since both exponents are "6", they can be pulled out as a single exponent as follows:
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{{{5^6 * 2^6 = (5*2)^6}}}
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But look at the right side term inside the parentheses. It is just 5 times 2 and that obviously is 10. Therefore, the right side of this equation becomes:
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{{{(5*2)^6 = 10^6}}}
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And {{{10^6}}} is equal to {{{1*10^6}}} which is one followed by six zeros as follows:
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{{{1000000}}}
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That's the answer to this problem ... 1,000,000 or One Million.
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Hope this gives you a new insight into working with exponents.