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(4t)^5 Without Exponents Equation

less than a minute read Jun 16, 2024
(4t)^5 Without Exponents Equation

Expanding (4t)^5 Without Exponents

The expression (4t)^5 represents 4t multiplied by itself five times:

(4t)^5 = (4t) * (4t) * (4t) * (4t) * (4t)

To expand this without exponents, we can break it down step by step:

  1. Multiply the first two terms: (4t) * (4t) = 16t^2
  2. Multiply the result by the third term: 16t^2 * (4t) = 64t^3
  3. Multiply the result by the fourth term: 64t^3 * (4t) = 256t^4
  4. Multiply the result by the fifth term: 256t^4 * (4t) = 1024t^5

Therefore, the expanded form of (4t)^5 without exponents is 1024t^5.

Important Note: This process can be tedious for larger exponents. It's generally easier to use the exponent rules to simplify expressions. In this case, we could simply apply the power of a product rule: (ab)^n = a^n * b^n to get (4t)^5 = 4^5 * t^5 = 1024t^5.

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