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Given that seven to the π₯ power equals 49 and four to the π¦ power equals 64, find the value of π₯ times π¦.
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Here, we start with whatβs given.
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So if we could rewrite 49 as 7 to some power, we could figure out what π₯ would be.
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And same with 64, if we can make 64 be four to a certain power equal to 64, we know what π¦ would be.
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49 is equal to seven squared.
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Therefore, π₯ would be equal to two.
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64 is equal to four cubed.
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So π¦ is equal to three.
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So π₯ times π¦ would be two times three which is equal to six.