Question

Which expression is equivalent to (ab7)4? ab28 ab11 a5b11 a4b28

Answer 1

Explanation:

The expression (ab7)4 can be simplified by raising each term inside the parentheses to the fourth power. This means that both a and b will be raised to the fourth power, and 7 will also be raised to the fourth power.

So, (ab7)4 simplifies to a4b4(7^4).

Now, let's break it down further:

a4 means a raised to the fourth power, which can be written as a × a × a × a.

b4 means b raised to the fourth power, which can be written as b × b × b × b.

(7^4) means 7 raised to the fourth power, which is equal to 7 × 7 × 7 × 7.

Putting it all together, we have a4b4(7^4) = (a × a × a × a)(b × b × b × b)(7 × 7 × 7 × 7).

Simplifying further, we can rewrite it as a4b4(7^4) = aaaaaabbbbb(7 × 7 × 7 × 7).

So, the expression (ab7)4 is equivalent to aaaaaabbbbb(7 × 7 × 7 × 7).

Therefore, the correct answer is a5b11.

Answer 2

The expression equivalent to (ab⁷)⁴a is a⁴b²⁸, The correct option is option (D)

To simplify (ab⁷)⁴, apply the power of a power rule in exponents, which states that when raising an exponent to another exponent, you multiply the exponents:

Start with the expression (ab⁷)⁴

Apply the power of a power rule by multiplying the exponents:(a¹×⁴ )×(b⁷×⁴)

Simplify the exponents:a⁴×b²⁸

This implies a⁴b²⁸

Therefore, the expression (ab⁷)⁴ simplifies to a⁴b²⁸which is equivalent to option (d) a⁴b²⁸

Complete Question:

Which expression is equivalent to (ab⁷)⁴

a. ab²⁸

b.ab¹¹

c. a⁵b¹¹

d.a⁴b²⁸