Question

Solve for x , 5^+1= 25^−2

Answer 1

Answer:

Raise

25

to the power of

1

.

5

x

=

1

25

1

Move

25

1

to the numerator using the negative exponent rule

1

b

n

=

b

−

n

.

5

x

=

25

−

1

Create equivalent expressions in the equation that all have equal bases.

5

x

=

5

−

2

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

x

=

−

2

Step-by-step explanation:

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Answer 2

Answer:

5 x+1 =25 x−2⇒5 x+1 =(5 2 ) x−2⇒5 x+1 =5 2x−4 [If bases are equal, powers are also equal]

⇒x+1=2x−4⇒2x−x=4+1⇒x=5∴3 x−3 ×2 3−x =3 5−3−5=3 2 ×2 −2 =9×41 = 49