simplify using the laws of exponents
30. (14y)4
^
I don't see your exponent.
Is it (14y)^4 ?
yes it is and thank you
You distribute the power to each part.
14^4y^4
Most teachers would let you leave the answer like this. They wouldn't want you to work out 14^4. Maybe your teacher does. If so.. 14*14*14*14
To simplify the expression (14y)^4 using the laws of exponents, we will apply the power rule for exponents. The power rule states that when you have a power raised to another power, you multiply the exponents together.
In this case, we have (14y)^4. To simplify, we will multiply the exponent 4 to both the base 14 and the exponent y.
For the base 14, we have 14^4. To simplify this, we multiply 14 by itself four times:
14^4 = 14 * 14 * 14 * 14 = 38416
For the exponent y, we have y^4. Since the exponent is already 4, we don't need to do any additional calculations for the variable y.
Combining these results, we have:
(14y)^4 = 38416y^4
Therefore, the simplified expression is 38416y^4.