Explanation

1/2 × 2/3 × 3/4 × 4/5

= (1 × 2 × 3 × 4) / (2 × 3 × 4 × 5)

= 1/5

= 0.2

Explanation

1/4 + 1/4 + 1/4 + 1/4 = 4/4 = 1

Explanation

Explanation

25% of 40

= 25/100 × 40

= 0.25 × 40 = 10

30% of 60

= 30/100 × 60

= 0.30 × 60 = 18

Now add:

10 + 18 = 28

Explanation

We can use the formula for the difference of squares:

a² - b² = (a - b)(a + b)

Here a = 21, b = 19

21² - 19² = (21 - 19)(21 + 19)

= (2)(40) = 80

Explanation

Explanation

An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

5/4: The numerator (5) is greater than the denominator (4). This is an improper fraction.

2/2: numerator = denominator → improper fraction (but often called "equal to 1")

2/4: The numerator (2) is less than the denominator (4). This is a proper fraction.

4/5: The numerator (4) is less than the denominator (5). This is a proper fraction

Explanation

We are given: log₇^√7

Step 1: Rewrite √7 in exponent form

√7 = 7½

So the expression becomes:

log₇ (7½)

Step 2: Use the logarithm power rule

loga(a^b) = b

Here a = 7 and b = 1/2, so:

log₇(7½) = 1/2

Explanation

Explanation

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