Question

Choose the correct simplification of the expression (5xy5)2(y3)4. 25x2y22 10x2y22 25x3y14 10x3y14

Answer 1

Answer:

A) $25x^2y^{22}$

Step-by-step explanation:

The given expression is $(5xy^{5})^2 . (y^3)^4$

Here we have to use exponent rules and simplify the expression.

Power rule : $(a^m)^n = a^{mn}$

Using the above rule, we can write

$(5xy^{5} )^2 = 5^2.x^2.y^{5*2}$

= $25.x^2.y^10$

Again using the power rule

$(y^{3} )^4 = y^12$

Now we have to put together this expression, we get

= $25.x^2.y^{10} .y^{12}$

Now we have to use product rule.

Product rule: $a^m . a^n = a^{m + n}$

Using this rule, we can simplify further

= $25..x^2.y^{10 +12}$

= $25x^2y^{22}$