Question
4 to the power of 13 divided by 3 to the power of -5
Answers
GPT 3.5
To simplify the expression, we can use the laws of exponents:
4^13 / 3^(-5)
When dividing exponents with the same base, subtract the exponent of the denominator from the exponent of the numerator:
4^13 * 3^5
Now, raise 4 to the power of 13 and 3 to the power of 5:
(4^13) * (3^5) = 67108864 * 243
Finally, multiply the two numbers together:
67108864 * 243 = 1632580352
Therefore, 4 to the power of 13 divided by 3 to the power of -5 is equal to 1632580352.
4^13 / 3^(-5)
When dividing exponents with the same base, subtract the exponent of the denominator from the exponent of the numerator:
4^13 * 3^5
Now, raise 4 to the power of 13 and 3 to the power of 5:
(4^13) * (3^5) = 67108864 * 243
Finally, multiply the two numbers together:
67108864 * 243 = 1632580352
Therefore, 4 to the power of 13 divided by 3 to the power of -5 is equal to 1632580352.