Same thing but with (78^8)^6
To simplify (78^8)^6, we use the property of exponents which states that when raising a power to another power, we multiply the exponents. In this case, we would multiply the exponent 8 by 6.
(78^8)^6 = 78^(8*6) = 78^48
What exponents t would make two expressions equivalent (16^x)^6=(16^18)
To find the value of x that would make the expressions (16^x)^6 and 16^18 equivalent, we can equate the exponents:
(16^x)^6 = 16^18
Now, we can apply the property of exponents which states that when raising a power to another power, we multiply the exponents. In this case, we would multiply the exponent x by 6:
16^(6x) = 16^18
Since the bases are the same (both 16), the exponents must be equal. Therefore, we have:
6x = 18
Simplifying this equation, we divide both sides by 6:
x = 3
So, the value of x that would make the expressions (16^x)^6 and 16^18 equivalent is x = 3.