U N I T - 8
Maya multiplied (4
2
× 3
2
) by thinking about stretching machines.
Use Maya’s idea to multiply 5
3
× 2
3
Maya’s idea is another product law of exponents.
Multiplying Expressions with the Same Exponents
a
c
× b
c
= (a × b)
c
You can use this law with more than two expressions. If the exponents
are the same, multiply the expressions by multiplying the bases and
using the same exponent. For example, 2
8
× 3
8
× 7
8
= (2 × 3 × 7)
8
= 42
8
159. Find a single repeater machine that will do the same work as each
hook-up.
(a)
(b)
(c)
E E E E E
P P P P P
269
269
269
269
269
XPONENTS
XPONENTS
AND
AND
OWERS
OWERS
XPONENTS
XPONENTS
XPONENTS AND
AND
AND
OWERS
OWERS
OWERS