Question

2y to the power of 4 x 5y to the power of 3

Answer 1

Answer:

(2•5y to the 7th power)

Step-by-step explanation:

Step 1:  (2y to the 4th power • 5) • y to the 3rd power

Step 2:  (2•5y to the 4th power) • y to the 3rd power

Step 3:  3.1    y to the 4th power multiplied by y to the 3rd power = y to the  (4 + 3) power = y to the 7th power

Final answer:  (2•5y to the 7th power)

Answer 2

The expression $2y^{4} * 5y^{3}$  is equal to 10$y^{7}$.

What is Multiplying Exponents?

When two expressions with exponents are multiplied, it is called multiplying exponents. The multiplication of exponents involves certain rules depending upon the base and the power.

What is multiplication of exponents with same base and different power?

When the terms with the same base are multiplied, the powers are added, i.e., $a^{m}$ × $a^{n}$ = $a^{{m+n}}$

According to the question

$2y^{4} * 5y^{3}$

Now,

Using the multiplying exponent rule :

the terms with the same base are multiplied, the powers are added, i.e., $a^{m}$ × $a^{n}$ = $a^{{m+n}}$

Therefore,

As, base y is common in both the terms

= 10$y^{4+3}$

= 10$y^{7}$

Hence, the expression $2y^{4} * 5y^{3}$  is equal to 10$y^{7}$.

To know more about multiplying exponent here:

https://brainly.com/question/219134

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