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7x59:37x5^9:3

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Full solution

Q. 7x59:37x5^9:3
  1. Understand the problem: Understand the problem and write down the expression.\newlineThe problem asks us to divide the product of 77 and 55 raised to the power of 99 by 33. The expression is 7×593\frac{7 \times 5^9}{3}.
  2. Calculate 595^9: Calculate 55 raised to the power of 99. 595^9 means 55 multiplied by itself 99 times. This is a large number, but we can use a calculator or remember that 53=1255^3 = 125, so 59=(53)3=12535^9 = (5^3)^3 = 125^3.
  3. Calculate 1253125^3: Calculate 125125 raised to the power of 33. 1253125^3 means 125125 multiplied by itself 33 times. 125×125=15625125 \times 125 = 15625, and then 15625×125=195312515625 \times 125 = 1953125.
  4. Multiply 77 by 595^9: Multiply 77 by 595^9. Now we multiply 77 by the result from Step 33, which is 19531251953125. So, 7×1953125=136718757 \times 1953125 = 13671875.
  5. Divide by 33: Divide the result by 33.\newlineFinally, we divide the result from Step 44 by 33. So, 13671875/3=4557291.666…13671875 / 3 = 4557291.666\ldots

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