Question

Simplify and express each of the following in exponential form -

1)
$2 {}^{0} \times 3 {}^{0} \times 4 {}^{0}$

2)
$(3 {}^{0} + 2 {}^{0}) \times 5 {}^{0}$


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Answer 1

$\sf{Answer}$

Step-by-step-explanation:-

Need to know that :-

Anything power 0 is 1 i.e (x⁰ = 1 )

So,

1) $2 {}^{0} \times 3 {}^{0} \times 4 {}^{0}$

2⁰ = 1

3⁰ = 1

4⁰ = 1

$2 {}^{0} \times 3 {}^{0} \times 4 {}^{0}$

1 × 1 × 1

= 1

So, $2 {}^{0} \times 3 {}^{0} \times 4 {}^{0}$ = 1

____________________________

2 ) $(3 {}^{0} + 2 {}^{0}) \times 5 {}^{0}$

3⁰ = 1

2⁰ = 1

5⁰ = 1

$(3 {}^{0} + 2 {}^{0}) \times 5 {}^{0}$ = ( 1 + 1 ) (1)

2 (1)

= 2

So,

$(3 {}^{0} + 2 {}^{0}) \times 5 {}^{0}$ = 2

______________________________

Know more :-

Laws of exponents :-

$a {}^{1} = a$

$a {}^{m} \times a {}^{n} = a {}^{m + n}$

$(x {}^{m} ) {}^{n} = x {}^{mn}$

$(ab) {}^{n} = a {}^{n} b {}^{n}$

$a {}^{m} \div a {}^{n} = a {}^{m - n}$

$a {}^{ - 1} = \frac{1}{a}$