Simplify 4^13÷3^−5
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No wrong
Using the rule for dividing exponents, we subtract the exponents: 4^13 ÷ 3^(-5) = 4^(13-(-5)) = 4^18.
WRONG
Apologies for the mistake. Let's try again.
Using the rule for dividing exponents, we subtract the exponents:
4^13 ÷ 3^(-5) = 4^13 * 3^5.
This cannot be simplified further, so the final answer is 4^13 * 3^5.
whats the star
Apologies for the confusion. The star (*) symbol represents multiplication. So, 4^13 * 3^5 means 4 raised to the power of 13 multiplied by 3 raised to the power of 5.
I apologize for the confusion again. Here is the correct simplification:
4^13 ÷ 3^(-5)
When we divide by a negative exponent, it is equivalent to multiplying by the reciprocal of the base with a positive exponent.
Therefore, 4^13 ÷ 3^(-5) = 4^13 * 3^5.
Now we can simplify this expression. 4^13 means raising 4 to the power of 13, and 3^5 means raising 3 to the power of 5.
The final simplified expression is 4^13 * 3^5.