Question

Solve (5^y X 6^y).

a) (11y)

b) (30y)

c) (y^30)

d) (y^2)

Answer 1

The expression (5^y × 6^y) simplifies to (30^y) by multiplying the bases and keeping the exponent same, making option b) (30y) the correct answer.

Step-by-step explanation:

To solve the expression (5^y × 6^y), we will apply the properties of exponents. When you multiply numbers with the same exponent but different bases, you can combine the bases and keep the exponent the same. In this case, we multiply the bases 5 and 6 together and keep the exponent y.

The calculation will look like this:

• 5^y × 6^y = (5×6)^y
• (5×6)^y = 30^y

The correct answer would then be

(30^y)

, which corresponds to option

b) (30y)

.