+0

# system

0
60
3

Im having trouble with this

One ordered pair (a,b) satisfies the two equations ab^4 = 48 and ab = 72. What is the value of b in this ordered pair? (Note: you may have to use the Tab key to get your cursor into the middle answer box.)

Jun 26, 2023

#1
+95
+1

I don't have the answer but if I understand the question correctly, Guest are you saying that 72 to the power of 4 must equal 48???

Jun 26, 2023
#3
+828
0

In ab4, the exponent applies only to the b.

What you're thinking about would be written (ab)4.

.

Bosco  Jun 27, 2023
#2
+828
0

One ordered pair (a,b) satisfies the two equations ab^4 = 48 and ab = 72. What is the value of b in this ordered pair?

To find b, consider                                                  ab4  =  48

We will divide both sides by ab.

Since ab=72, we will divide the left side

by "ab" and the right side by its equal 72.

ab4         48

——   =   ——

ab           72

Note that ab4 = (ab) * (b3)

Cancel ab out of the left side.

Reduce 48/72 on the right side.

b3           2

——   =   ——

1            3

b   =   cube root of (2 / 3)

.

Jun 27, 2023