simplify 4^13 divided by 3^-5
can you simplify 12^13 any further?
hey bot can you simplify 12^13 any further
bot your answer was incorrect
@Bot GPT 3.5
@Bot
To simplify the expression 4^13 divided by 3^-5, we can use the properties of exponents.
First, let's simplify the numerator, 4^13. This means multiplying 4 by itself 13 times:
4^13 = 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4
= 67,108,864
Now, let's simplify the denominator, 3^-5. To do this, we flip the base and change the exponent's sign to positive:
3^-5 = 1 / (3^5)
= 1 / (3 × 3 × 3 × 3 × 3)
= 1 / 243
Finally, we divide the numerator by the denominator:
4^13 / 3^-5 = 67,108,864 / (1 / 243)
To divide by a fraction, we multiply by its reciprocal:
67,108,864 / (1 / 243) = 67,108,864 × 243
Now, we can compute the final result:
67,108,864 × 243 = 16,308,507,392
what is the correct answer the ones above are wrong
To simplify the expression 4^13 / 3^-5, we can apply the rules of exponents.
Using the rule that a^m / a^n = a^(m-n), we can rewrite the expression as:
4^13 / 3^-5 = 4^13 * 3^5
Now, using the property that (a^m * b^n) = (a*b)^(m+n), we can simplify further:
4^13 * 3^5 = (4*3)^13 = 12^13
Therefore, 4^13 / 3^-5 simplifies to 12^13.