Answer:
2³ = 8
Step-by-step explanation:
According to the laws of exponents, when raising a power to another power, you need to multiply the exponents. After you multiply each set of exponents by the additional power, then it become a multiplication problem where the base is the same. When multiplying exponents with the same base, you keep the base and add the exponents:
Answer:
The original fraction is .
Step-by-step explanation:
Solution,
Let the fraction be''.
Where 'x' is the numerator and 'y' is the denominator.
Now according to question, if 2 is added to both the numerator and denominator the value of the fraction becomes 1/2.
So, framing the above sentence in equation form, we get;
On using cross multiplication method, we get;
Now according to question, if 2 is Subtracted to both the numerator and denominator the value of the fraction becomes 1/3.
So, framing the above sentence in equation form, we get;
On using cross multiplication method, we get;
Now Substituting the equation 1 in equation 1 we get;
Now Substituting the value of x in equation 1 we get;
Hence The original fraction is .
Answer:
d is greater than c, since at
Step-by-step explanation:
We are given two exponential functions, f and g.
Since f has the higher base(3 instead of 2 in g), it increases faster, so initially, g is greater than f, and after point (p,q), f is greater than g.
The values of c and d are found when . At this point, we have that g is greater than f, so d is greater than c.