Simplify 4¹³ ÷ 3-⁵

3 answers

To simplify the expression 4¹³ ÷ 3⁻⁵, we can start by rewriting the exponents.

4¹³ ÷ 3⁻⁵ = 4¹³ ÷ (1/3⁵)

Now, simplify the expression inside the parentheses.

4¹³ ÷ (1/3⁵) = 4¹³ × 3⁵

Next, calculate the value of 4¹³ and 3⁵.

4¹³ = 67,108,864
3⁵ = 243

Finally, simplify the expression by dividing 67,108,864 by 243.

67,108,864 ÷ 243 = 276,824
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To simplify 4¹³ ÷ 3⁻⁵, we can use the rule that states a⁻ⁿ = 1 / aⁿ.

4¹³ ÷ 3⁻⁵ = 4¹³ × 3⁵

Now, let's calculate 4¹³ and 3⁵.

4¹³ = 67,108,864
3⁵ = 243

Putting it all together:

67,108,864 ÷ 243 = 276,824.