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Multiply the expression: (10)^(1)*(10)^(3)*(10)^(5)

Multiply the expression: (10)(1)∗(10)(3)∗(10)(5)(10)^{(1)}*(10)^{(3)}*(10)^{(5)}

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Full solution

Q. Multiply the expression: (10)(1)∗(10)(3)∗(10)(5)(10)^{(1)}*(10)^{(3)}*(10)^{(5)}
  1. Combine exponents with same base: Step 11: Combine the exponents of the same base using the property of exponents.\newlineWhen multiplying powers with the same base, add the exponents.\newline(10)1×(10)3×(10)5=(10)1+3+5(10)^{1} \times (10)^{3} \times (10)^{5} = (10)^{1+3+5}
  2. Simplify the exponent: Step 22: Simplify the exponent.\newline1+3+5=91 + 3 + 5 = 9\newlineSo, (10)1+3+5=(10)9(10)^{1+3+5} = (10)^{9}

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