Simplify. 3p⁴·(p⁴)³ A) 3p²⁴ B) 3p⁴⁸ C) 3p¹¹ D) 3p¹⁶

Question

Quizplus · Accepted Answer

First, we use the exponent rule that a^(m^n) = a^(m×n). Then, we simplify the expression by multiplying the exponents of each variable that appears in the expression. We get: 3p^(1+1)S^(1+14+1+1)U^(1)P^(0+1+3+1+1+0) = 3p^2S^18U^1P^6 Then, we use the same rule for the second term and simplify: (pS^(1+14+1+1)U^(1)P^(0))^(1+1+13+1+1+0) = (p^2S^18U^1P^0)^18 Now we can multiply the two terms together by multiplying their coefficients and adding their exponents: 3p^2S^18U^1P^6 * (p^2S^18U^1)^18 = 3p^(2+2×18)S^(18+18×18)U^(1+18)P^(6+18×0) = 3p^38S^325U^19 Therefore, the answer is D (3p¹⁶).

Simplify. 3p4·(p4)3

Simplify. 3p⁴·(p⁴)³