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A football stadium has 16 to the power of four seats, and a cricket stadium has five to the power of seven seats.
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Which stadium has more seats?
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How many more?
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The number of seats in the football stadium was equal to 16 to the power of four.
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As the power or exponent is four, we need to multiply 16 by 16 by 16 and by 16 again.
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There are four 16s.
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It is important to note that this is not the same as 16 times four as this would give us an answer of 64.
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16 to the power four is equal to 65536.
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The cricket stadium had five to the power of seven seats.
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We can calculate this by multiplying five by five by five by five by five by five and by five again.
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There are seven fives.
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This is because the exponent or power was equal to seven.
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Five to the power of seven is equal to 78125.
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We’ve, therefore, answered the first part of the question.
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The cricket stadium has more seats as 78125 is greater than 65536.
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The second part of our question asked us to work out how many more seats the stadium had.
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In order to do this, we subtract 65536 from 78125.
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We need to work out the difference between the two numbers.
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78125 minus 65536 is equal to 12589.
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We can, therefore, say that the cricket stadium has 12589 more seats than the football stadium.
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Five to the power of seven is 12589 more than 16 to the power of four.