Question

simplify using laws of exponents [(-3/5)⁴×(-3/5)²]÷(9/25)²​

Answer 1

Answer:

For example: x² × x³, 2³ × 2⁵, (-3)² × (-3)⁴

In multiplication of exponents if the bases are same then we need to add the exponents.

Consider the following:

1. 2³ × 2² = (2 × 2 × 2) × (2 × 2) = 23+2 = 2⁵

2. 3⁴ × 3² = (3 × 3 × 3 × 3) × (3 × 3) = 34+2 = 3⁶

Step-by-step explanation:

EXPLANATON BY THIS EXAMPLE

Answer 2

Answer:

(-5/3)^4

Step-by-step explanation:

As per the law the when we have to multiply two exponent with same base but different powers we have to add the powers. So,

(-3/5)^4 and (-3/5)^2 is having same base and different powers so we will add the powers :

=4+2=6

= (-3/4)^6

Next we will have to divide

(-3/5)^6 ÷ (9/25)^6

We will find the reciprocal of (9/25) which will be (25/9)

Now we will cut 25 by 5 and 9 by (-3) which will be

(-5/3)

now we will again do the reciprocal and put the Power

(-3/5)^6

Here we again have same base but different power exponent but in division , so we will subtract the powers so, it will be

(-3/5)^6÷(-3/5)^2

= 6-2

= 4

The final answer is

(-3/5)^4

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