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22 to the power of 33 times 22 to the power of 44

Full solution

Q. 22 to the power of 33 times 22 to the power of 44
  1. Understand Problem: Understand the problem and write down the expression.\newlineWe need to calculate the value of 23×242^3 \times 2^4.
  2. Apply Exponent Rule: Apply the exponent multiplication rule.\newlineWhen multiplying two exponents with the same base, we add the exponents.\newline23×24=2(3+4)2^3 \times 2^4 = 2^{(3+4)}
  3. Perform Exponent Addition: Perform the addition in the exponent. 2(3+4)=272^{(3+4)} = 2^7
  4. Calculate Value: Calculate the value of 272^7.\newline27=2×2×2×2×2×2×22^7 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2\newline=128= 128